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{{refimprove|date=August 2014}}
{{See also|Area codes 847 and 224|l1=Area code 224}} {{See also|Area codes 847 and 224|l1=Area code 224}}
'''224''' (Two Hundred Twenty Four) is the natural number following 223 and proceeding 225. '''224''' (two hundred twenty four) is the natural number following 223 and preceding 225.
{{Infobox number {{Infobox number
| number = 224 | number = 224
| prime = no | prime = no
}} }}
== In Mathematics ==


224 is a ],<ref>{{SloanesRef|A005153|name=Practical numbers}}</ref>
224 =2<sup>5</sup>·7
and a sum of two positive cubes {{nowrap|2<sup>3</sup> + 6<sup>3</sup>}}.<ref>{{SloanesRef|A003325|Numbers that are the sum of 2 positive cubes}}</ref>


The sum of 224's prime factors is 17 (9 counting only distinct numbers)

The product of 224's digits is 16, and the sum of them is 8.

224 is non-trivially palindromic in base 3 and 15<ref>http://www.numbersaplenty.com/224</ref>

224 is an ]

224 is a ] because it is the multiple of the sum of its digits

224 is a ] because it is divisible by each of its digits (224/2 =112, 224/4=56)

224 is a ] because it is evenly divisible by the product of its digits

224 is the sum of 2 cubes:

224 = 23 + 63
224 is the sum of the cubes of 4 consecutive integers:

224 = 23 + 33 + 43 + 53

== In Popular Culture ==
224 is renowned for formerly being the smallest number without a Misplaced Pages page. It is the first number user CPU502 changed on their route to add Misplaced Pages articles for every number <1000.
==References== ==References==
{{Reflist}} {{Reflist}}

Revision as of 04:24, 5 August 2014

See also: Area code 224

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

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, ccxxiv
Binary111000002
Ternary220223
Senary10126
Octal3408
Duodecimal16812
HexadecimalE016

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

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.
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