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230202283231872 = 2732751893550111
BaseRepresentation
bin110100010101111000100101…
…010100011000101010000000
31010012002010022220220200212100
4310111320211110120222000
5220133113234001404442
62133333245144230400
766326365115063520
oct6425704524305200
91105063286820770
10230202283231872
1167393270583496
122199a8b2a6b400
139b5ac9ca71073
1440bbbc83d7680
151b9315299a84c
hexd15e25518a80

230202283231872 has 192 divisors, whose sum is σ = 757080021634560. Its totient is φ = 65770693908480.

The previous prime is 230202283231807. The next prime is 230202283231883. The reversal of 230202283231872 is 278132382202032.

230202283231872 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 228 + 323 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418190097 + ... + 418740207.

It is an arithmetic number, because the mean of its divisors is an integer number (3943125112680).

Almost surely, 2230202283231872 is an apocalyptic number.

It is an amenable number.

230202283231872 is an abundant number, since it is smaller than the sum of its proper divisors (526877738402688).

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

230202283231872 is a wasteful number, since it uses less digits than its factorization.

230202283231872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602031 (or 602016 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 230202283231872 in words is "two hundred thirty trillion, two hundred two billion, two hundred eighty-three million, two hundred thirty-one thousand, eight hundred seventy-two".