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225735455677152 = 25314149916617863
BaseRepresentation
bin110011010100111000100001…
…101001100001101011100000
31002121021002200000211002212010
4303110320201221201223200
5214041422203123132102
62120033234155432520
765355564012244341
oct6324704151415340
91077232600732763
10225735455677152
1165a20961900563
1221399063455740
1398c59ba531515
143da59237740c8
151b16d6d28ed6c
hexcd4e21a61ae0

225735455677152 has 48 divisors (see below), whose sum is σ = 592559794512000. Its totient is φ = 75244615592832.

The previous prime is 225735455677099. The next prime is 225735455677153. The reversal of 225735455677152 is 251776554537522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2257354556771522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225735455677153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5274973 + ... + 21892835.

It is an arithmetic number, because the mean of its divisors is an integer number (12344995719000).

Almost surely, 2225735455677152 is an apocalyptic number.

It is an amenable number.

225735455677152 is an abundant number, since it is smaller than the sum of its proper divisors (366824338834848).

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

225735455677152 is a wasteful number, since it uses less digits than its factorization.

225735455677152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759375 (or 16759367 counting only the distinct ones).

The product of its digits is 617400000, while the sum is 66.

The spelling of 225735455677152 in words is "two hundred twenty-five trillion, seven hundred thirty-five billion, four hundred fifty-five million, six hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 141499 282998 424497 565996 848994 1131992 1697988 2263984 3395976 4527968 6791952 13583904 16617863 33235726 49853589 66471452 99707178 132942904 199414356 265885808 398828712 531771616 797657424 1595314848 2351410996637 4702821993274 7054232989911 9405643986548 14108465979822 18811287973096 28216931959644 37622575946192 56433863919288 75245151892384 112867727838576 225735455677152