232188264 has 288 divisors, whose sum is σ = 828023040. Its totient is φ = 58060800.

The previous prime is 232188263. The next prime is 232188287. The reversal of 232188264 is 462881232.

It is a super-2 number, since 2×232188264² = 107822779878667392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232188263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202952 + ... + 1203144.

It is an arithmetic number, because the mean of its divisors is an integer number (2875080).

Almost surely, 2^232188264 is an apocalyptic number.

232188264 is a gapful number since it is divisible by the number (24) 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 232188264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414011520).

232188264 is an abundant number, since it is smaller than the sum of its proper divisors (595834776).

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

232188264 is a wasteful number, since it uses less digits than its factorization.

232188264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 232188264 is about 15237.7250270505. The cubic root of 232188264 is about 614.6295290078.

The spelling of 232188264 in words is "two hundred thirty-two million, one hundred eighty-eight thousand, two hundred sixty-four".