231864864 has 144 divisors (see below), whose sum is σ = 772553376. Its totient is φ = 60211200.

The previous prime is 231864851. The next prime is 231864869. The reversal of 231864864 is 468468132.

231864864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×231864864² = 107522630315476992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (231864869) 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, 49504 + ... + 53984.

It is an arithmetic number, because the mean of its divisors is an integer number (5364954).

Almost surely, 2^231864864 is an apocalyptic number.

231864864 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 231864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386276688).

231864864 is an abundant number, since it is smaller than the sum of its proper divisors (540688512).

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

231864864 is a wasteful number, since it uses less digits than its factorization.

231864864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4504 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 231864864 is about 15227.1095090303. The cubic root of 231864864 is about 614.3440371933.

The spelling of 231864864 in words is "two hundred thirty-one million, eight hundred sixty-four thousand, eight hundred sixty-four".