232897824 has 72 divisors (see below), whose sum is σ = 701276940. Its totient is φ = 73064448.

The previous prime is 232897787. The next prime is 232897879. The reversal of 232897824 is 428798232.

232897824 = T₃₀ + T₃₁ + ... + T₁₁₁₇.

232897824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 228977424 + 3920400 = 15132^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 232897824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18889 + ... + 28680.

Almost surely, 2^232897824 is an apocalyptic number.

232897824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232897824 is an abundant number, since it is smaller than the sum of its proper divisors (468379116).

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

232897824 is a wasteful number, since it uses less digits than its factorization.

232897824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47602 (or 47591 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 232897824 is about 15260.9902693108. The cubic root of 232897824 is about 615.2549884532.

It can be divided in two parts, 23289 and 7824, that added together give a palindrome (31113).

The spelling of 232897824 in words is "two hundred thirty-two million, eight hundred ninety-seven thousand, eight hundred twenty-four".