232889230800 has 90 divisors (see below), whose sum is σ = 808190334822. Its totient is φ = 62103793920.

The previous prime is 232889230771. The next prime is 232889230811. The reversal of 232889230800 is 8032988232.

232889230800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 80161464384 + 152727766416 = 283128^2 + 390804^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 32342127 + ... + 32349326.

Almost surely, 2^232889230800 is an apocalyptic number.

232889230800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232889230800 is an abundant number, since it is smaller than the sum of its proper divisors (575301104022).

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

232889230800 is a wasteful number, since it uses less digits than its factorization.

232889230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691477 (or 64691463 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 232889230800 in words is "two hundred thirty-two billion, eight hundred eighty-nine million, two hundred thirty thousand, eight hundred".