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225735446472116 = 227101631233954083
BaseRepresentation
bin110011010100111000100001…
…000110011010010110110100
31002121021002122101111102220212
4303110320201012122112310
5214041422143244101431
62120033233230244552
765355563541065450
oct6324704106322664
91077232571442825
10225735446472116
1165a20957693699
1221399060356758
1398c59b865a759
143da5922459660
151b16d6c57272b
hexcd4e2119a5b4

225735446472116 has 96 divisors (see below), whose sum is σ = 456867156695040. Its totient is φ = 95591449296000.

The previous prime is 225735446472113. The next prime is 225735446472181. The reversal of 225735446472116 is 611274644537522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225735446472113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4173843611 + ... + 4173897693.

It is an arithmetic number, because the mean of its divisors is an integer number (4759032882240).

Almost surely, 2225735446472116 is an apocalyptic number.

It is an amenable number.

225735446472116 is an abundant number, since it is smaller than the sum of its proper divisors (231131710222924).

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

225735446472116 is a wasteful number, since it uses less digits than its factorization.

225735446472116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57165 (or 57163 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 59.

The spelling of 225735446472116 in words is "two hundred twenty-five trillion, seven hundred thirty-five billion, four hundred forty-six million, four hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 101 202 404 631 707 1262 1414 2339 2524 2828 4417 4678 8834 9356 16373 17668 32746 54083 63731 65492 108166 127462 216332 236239 254924 378581 446117 472478 757162 892234 944956 1475909 1514324 1653673 1784468 2951818 3307346 5462383 5903636 6614692 10331363 10924766 20662726 21849532 34126373 38236681 41325452 68252746 76473362 126500137 136505492 149066809 152946724 238884611 253000274 298133618 477769222 506000548 596267236 885500959 955538444 1043467663 1771001918 2086935326 3446763673 3542003836 4173870652 6893527346 12776513837 13787054692 24127345711 25553027674 48254691422 51106055348 79821586447 89435596859 96509382844 159643172894 178871193718 319286345788 357742387436 558751105129 1117502210258 2235004420516 8061980231147 16123960462294 32247920924588 56433861618029 112867723236058 225735446472116