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224 is a Harshad number, ],<ref>{{Cite OEIS|A005153|name=Practical numbers}}</ref> 224 is a ],<ref>{{Cite OEIS|A005153|name=Practical numbers}}</ref>
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> 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>



Revision as of 05:53, 10 December 2022

224 (two hundred twenty-four) is the natural number following 223 and preceding 225.

In mathematics

Natural number
← 223 224 225 →
220 221 222 223 224 225 226 227 228 229 0 100 200 300 400 500 600 700 800 900
Cardinaltwo hundred twenty-four
Ordinal224th
(two hundred twenty-fourth)
Factorization2 × 7
PrimeNo
Greek numeralΣΚΔ´
Roman numeralCCXXIV
Binary111000002
Ternary220223
Senary10126
Octal3408
Duodecimal16812
HexadecimalE016

224 is a practical number, and a sum of two positive cubes 2 + 6.

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".

See also

References

  1. Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A003325 (Numbers that are the sum of 2 positive cubes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A141162 (Smallest k such that lambda(k) = n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. 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). ISBN 978-1-4516-4009-0.
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