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225496600272 = 24331704130631
BaseRepresentation
bin1101001000000010100…
…1010000111011010000
3210120001020122011211000
43102000221100323100
512143304112202042
6251331450422000
722202005322406
oct3220051207320
9716036564730
10225496600272
11876a5a52379
1237852431900
13183586ba1b8
14acb23b7476
155ceba3c74c
hex3480a50ed0

225496600272 has 80 divisors (see below), whose sum is σ = 647317874560. Its totient is φ = 75158668800.

The previous prime is 225496600271. The next prime is 225496600309. The reversal of 225496600272 is 272006694522.

225496600272 is a `hidden beast` number, since 22 + 549 + 6 + 60 + 0 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225496600271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7346397 + ... + 7377027.

It is an arithmetic number, because the mean of its divisors is an integer number (8091473432).

Almost surely, 2225496600272 is an apocalyptic number.

It is an amenable number.

225496600272 is an abundant number, since it is smaller than the sum of its proper divisors (421821274288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225496600272 is a wasteful number, since it uses less digits than its factorization.

225496600272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47689 (or 47677 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 225496600272 in words is "two hundred twenty-five billion, four hundred ninety-six million, six hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 17041 30631 34082 51123 61262 68164 91893 102246 122524 136328 153369 183786 204492 245048 272656 275679 306738 367572 408984 460107 490096 551358 613476 735144 817968 827037 920214 1102716 1226952 1470288 1654074 1840428 2205432 2453904 3308148 3680856 4410864 6616296 7361712 13232592 521982871 1043965742 1565948613 2087931484 3131897226 4175862968 4697845839 6263794452 8351725936 9395691678 12527588904 14093537517 18791383356 25055177808 28187075034 37582766712 56374150068 75165533424 112748300136 225496600272