232522155504400 has 120 divisors (see below), whose sum is σ = 607481691216840. Its totient is φ = 85171867361280.

The previous prime is 232522155504389. The next prime is 232522155504427. The reversal of 232522155504400 is 4405551225232.

It can be written as a sum of positive squares in 12 ways, for example, as 19797615616 + 232502357888784 = 140704^2 + 15248028^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461835355 + ... + 462338554.

It is an arithmetic number, because the mean of its divisors is an integer number (5062347426807).

Almost surely, 2^{232522155504400} is an apocalyptic number.

232522155504400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232522155504400 is an abundant number, since it is smaller than the sum of its proper divisors (374959535712440).

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

232522155504400 is a wasteful number, since it uses less digits than its factorization.

232522155504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924173981 (or 924173970 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 232522155504400 in words is "two hundred thirty-two trillion, five hundred twenty-two billion, one hundred fifty-five million, five hundred four thousand, four hundred".