224 (number)
In mathematics
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Cardinal | two hundred twenty-four | |||
Ordinal | 224th (two hundred twenty-fourth) | |||
Factorization | 25 × 7 | |||
Prime | No | |||
Greek numeral | ΣΚΔ´ | |||
Roman numeral | CCXXIV | |||
Binary | 111000002 | |||
Ternary | 220223 | |||
Octal | 3408 | |||
Duodecimal | 16812 | |||
Hexadecimal | E016 |
224 is a practical number,[1] and a sum of two positive cubes 23 + 63.[2]
224 is the smallest k with λ(k) = 24, where λ(k) is the Carmichael function.[3]
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 Wikipedia".[4]
In other fields
- The years 224 and 224 BC
- Area code 224
- .224 Weatherby Magnum, firearm cartridge
References
- Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- 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.
- Sloane, N. J. A. (ed.). "Sequence A141162 (Smallest k such that lambda(k) = n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- 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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