232013824 has 135 divisors (see below), whose sum is σ = 573389733. Its totient is φ = 93585408.

The previous prime is 232013819. The next prime is 232013843. The reversal of 232013824 is 428310232.

The square root of 232013824 is 15232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 180633600 + 51380224 = 13440^2 + 7168^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13647864 + ... + 13647880.

Almost surely, 2^232013824 is an apocalyptic number.

232013824 is the 15232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232013824

232013824 is an abundant number, since it is smaller than the sum of its proper divisors (341375909).

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

232013824 is an frugal number, since it uses more digits than its factorization.

232013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 232013824 is about 614.4755694085.

Multiplying 232013824 by its sum of digits (25), we get a square (5800345600 = 76160²).

Multiplying 232013824 by its product of nonzero digits (2304), we get a square (534559850496 = 731136²).

The spelling of 232013824 in words is "two hundred thirty-two million, thirteen thousand, eight hundred twenty-four".