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{{Article for deletion/dated|page=224 (number)|timestamp=20230309050834|year=2023|month=March|day=9|substed=yes|help=off}} |
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'''224''' ('''two hundred twenty-four''') is the natural number following ] and preceding ]. |
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'''224''' ('''two hundred twenty-four''') is the natural number following ] and preceding ]. |
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224 is a ],<ref>{{Cite OEIS|A005153|name=Practical numbers}}</ref> |
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224 is a ],<ref>{{Cite OEIS|A005153|name=Practical numbers}}</ref> |
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and a sum of two positive cubes {{nowrap|2<sup>3</sup> + 6<sup>3</sup>}}.<ref>{{Cite OEIS|A003325|Numbers that are the sum of 2 positive cubes}}</ref> |
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and a sum of two positive cubes {{nowrap|2<sup>3</sup> + 6<sup>3</sup>}}.<ref>{{Cite OEIS|A003325|Numbers that are the sum of 2 positive cubes}}</ref> It is also {{nowrap|2<sup>3</sup> + 3<sup>3</sup> + 4<sup>3</sup> + 5<sup>3</sup>}}, making it one of the smallest numbers to be the sum of distinct positive cubes in more than one way.<ref>{{cite OEIS|A003998|Numbers that are a sum of distinct positive cubes in more than one way}}</ref> |
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224 is the smallest ''k'' with λ(''k'') = 24, where λ(''k'') is the ].<ref>{{Cite OEIS|A141162|name=Smallest k such that lambda(k) = n}}</ref> |
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224 is the smallest ''k'' with λ(''k'') = 24, where λ(''k'') is the ].<ref>{{Cite OEIS|A141162|name=Smallest k such that lambda(k) = n}}</ref> |
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The mathematician and philosopher ] suggested in 2014 that a candidate for the lowest ] would be 224 because it was, at the time, "the lowest number not to have its own page on ]".<ref>{{Cite book|last=Bellos|first=Alex|others=illus. The Surreal McCoy|date=June 2014|title=The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life|edition=1st Simon & Schuster hardcover|publisher=Simon & Schuster|publication-place=N.Y.|at=pp. 238 & 319 (quoting p. 319)|isbn=978-1-4516-4009-0}}</ref> |
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The mathematician and philosopher ] suggested in 2014 that a candidate for the lowest ] would be 224 because it was, at the time, "the lowest number not to have its own page on ]".<ref>{{Cite book|last=Bellos|first=Alex|others=illus. The Surreal McCoy|date=June 2014|title=The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life|edition=1st Simon & Schuster hardcover|publisher=Simon & Schuster|publication-place=N.Y.|at=pp. 238 & 319 (quoting p. 319)|isbn=978-1-4516-4009-0}}</ref> That distinction now belongs to ]. |
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== In other areas == |
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In the ] family of six ]s, the weakest is SHA-224, named because it produces 224-bit hash values.<ref>{{cite web|title = FIPS Publication 180-2 (with Change Notice 1): Announcing the Secure Hash Standard (+ Change Notice to Include SHA-224)|date=February 25, 2004|publisher=NIST|url=https://csrc.nist.gov/csrc/media/publications/fips/180/2/archive/2002-08-01/documents/fips180-2withchangenotice.pdf|access-date=2023-03-09}}</ref> It was defined in this way so that the number of bits of security it provides (half of its output length, 112 bits) would match the key length of two-key ].<ref>{{cite web|url=https://datatracker.ietf.org/doc/html/rfc3874|title=RFC 3874: A 224-bit One-way Hash Function: SHA-224|first=R.|last=Housley|publisher=Network Working Group|date=September 2004|access-date=2023-03-09}}</ref> |
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The ancient Phoenician ] was a standardized measure of ], equal to 224 grains, although other forms of the shekel employed in other ancient cultures (including the Babylonians and Hebrews) had different measures.<ref>{{cite journal | last = Bratcher | first = Robert G. | date = October 1959 | doi = 10.1177/000608445901000404 | issue = 4 | journal = The Bible Translator | pages = 165–174 | publisher = {SAGE} Publications | title = Weights, Money, Measures and Time | volume = 10| s2cid = 125756547 }}</ref> Likely not coincidentally, as far as ancient ] and ], silver was measured in a unit called a ''tikal'', equal to 224 grains.<ref>{{cite book|title=Coins of Ancient India: From the Earliest Times Down to the Seventh Century A.D.|first=Alexander|last=Cunningham|url=https://archive.org/details/coinsancientind00cunngoog|publisher=B. Quaritch|location=London|year=1891|page=4}}</ref> |
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==See also== |
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==See also== |
