232513164 has 72 divisors (see below), whose sum is σ = 660502752. Its totient is φ = 68428800.

The previous prime is 232513163. The next prime is 232513181. The reversal of 232513164 is 461315232.

232513164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (232513163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37 + ... + 21564.

Almost surely, 2^232513164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232513164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330251376).

232513164 is an abundant number, since it is smaller than the sum of its proper divisors (427989588).

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

232513164 is a wasteful number, since it uses less digits than its factorization.

232513164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21647 (or 21642 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 232513164 is about 15248.3823404320. The cubic root of 232513164 is about 614.9160781779.

Adding to 232513164 its reverse (461315232), we get a palindrome (693828396).

The spelling of 232513164 in words is "two hundred thirty-two million, five hundred thirteen thousand, one hundred sixty-four".