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225476927928 = 233273114431447
BaseRepresentation
bin1101000111111101111…
…0001110000110111000
3210112222212121201102200
43101333132032012320
512143234043143203
6251325505030200
722201346156550
oct3217736160670
9715885551380
10225476927928
118769593623a
1237847925360
13183545bcc65
14acad936160
155ce9e539a3
hex347f78e1b8

225476927928 has 96 divisors (see below), whose sum is σ = 720417884160. Its totient is φ = 62343846720.

The previous prime is 225476927843. The next prime is 225476927957. The reversal of 225476927928 is 829729674522.

225476927928 is a `hidden beast` number, since 2 + 2 + 5 + 476 + 92 + 79 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7200100 + ... + 7231347.

It is an arithmetic number, because the mean of its divisors is an integer number (7504352960).

Almost surely, 2225476927928 is an apocalyptic number.

225476927928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225476927928 is an abundant number, since it is smaller than the sum of its proper divisors (494940956232).

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

225476927928 is a wasteful number, since it uses less digits than its factorization.

225476927928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14431497 (or 14431490 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 225476927928 in words is "two hundred twenty-five billion, four hundred seventy-six million, nine hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 14431447 28862894 43294341 57725788 86588682 101020129 115451576 129883023 173177364 202040258 259766046 303060387 346354728 404080516 447374857 519532092 606120774 808161032 894749714 909181161 1039064184 1212241548 1342124571 1789499428 1818362322 2424483096 2684249142 3131623999 3578998856 3636724644 4026373713 5368498284 6263247998 7273449288 8052747426 9394871997 10736996568 12526495996 16105494852 18789743994 25052991992 28184615991 32210989704 37579487988 56369231982 75158975976 112738463964 225476927928