232264000224 has 144 divisors (see below), whose sum is σ = 705318606720. Its totient is φ = 72340208640.

The previous prime is 232264000201. The next prime is 232264000247. The reversal of 232264000224 is 422000462232.

It is a happy number.

232264000224 is a `hidden beast` number, since 2 + 32 + 2 + 6 + 400 + 0 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (232264000201) and next prime (232264000247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189627 + ... + 707450.

It is an arithmetic number, because the mean of its divisors is an integer number (4898045880).

Almost surely, 2^232264000224 is an apocalyptic number.

232264000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232264000224 is an abundant number, since it is smaller than the sum of its proper divisors (473054606496).

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

232264000224 is a wasteful number, since it uses less digits than its factorization.

232264000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897153 (or 897142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 232264000224 its reverse (422000462232), we get a palindrome (654264462456).

The spelling of 232264000224 in words is "two hundred thirty-two billion, two hundred sixty-four million, two hundred twenty-four", and thus it is an aban number.