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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>
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>
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>
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 ].
== In other areas ==
== In other areas ==
Latest revision as of 17:25, 27 August 2024
224 (two hundred twenty-four) is the natural number following 223 and preceding 225.
224 is a practical number,
and a sum of two positive cubes 2 + 6. It is also 2 + 3 + 4 + 5, making it one of the smallest numbers to be the sum of distinct positive cubes in more than one way.
224 is the smallest k with λ(k) = 24, where λ(k) is the Carmichael function.
The mathematician and philosopher Alex Bellos suggested in 2014 that a candidate for the lowest uninteresting number would be 224 because it was, at the time, "the lowest number not to have its own page on Misplaced Pages". That distinction now belongs to 315.
In other areas
In the SHA-2 family of six cryptographic hash functions, the weakest is SHA-224, named because it produces 224-bit hash values. 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 Triple DES.
The ancient Phoenician shekel was a standardized measure of silver, equal to 224 grains, although other forms of the shekel employed in other ancient cultures (including the Babylonians and Hebrews) had different measures. Likely not coincidentally, as far as ancient Burma and Thailand, silver was measured in a unit called a tikal, equal to 224 grains.
Bellos, Alex (June 2014). The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life. illus. The Surreal McCoy (1st Simon & Schuster hardcover ed.). N.Y.: Simon & Schuster. pp. 238 & 319 (quoting p. 319). ISBN978-1-4516-4009-0.
Bratcher, Robert G. (October 1959). "Weights, Money, Measures and Time". The Bible Translator. 10 (4). {SAGE} Publications: 165–174. doi:10.1177/000608445901000404. S2CID125756547.
