232076275200 has 3360 divisors, whose sum is σ = 1197929399040. Its totient is φ = 42998169600.

The previous prime is 232076275199. The next prime is 232076275213. The reversal of 232076275200 is 2572670232.

232076275200 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 7 + 627 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×232076275200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12214540791 + ... + 12214540809.

Almost surely, 2^232076275200 is an apocalyptic number.

232076275200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232076275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598964699520).

232076275200 is an abundant number, since it is smaller than the sum of its proper divisors (965853123840).

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

232076275200 is a wasteful number, since it uses less digits than its factorization.

232076275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 232076275200 in words is "two hundred thirty-two billion, seventy-six million, two hundred seventy-five thousand, two hundred".