233402832 has 120 divisors (see below), whose sum is σ = 720844488. Its totient is φ = 70041600.

The previous prime is 233402801. The next prime is 233402833. The reversal of 233402832 is 238204332.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 220700736 = 3564^2 + 14856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233402796 and 233402805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233402833) 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, 75232 + ... + 78272.

Almost surely, 2^233402832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233402832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360422244).

233402832 is an abundant number, since it is smaller than the sum of its proper divisors (487441656).

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

233402832 is a wasteful number, since it uses less digits than its factorization.

233402832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 233402832 is about 15277.5270250129. The cubic root of 233402832 is about 615.6993669925.

The spelling of 233402832 in words is "two hundred thirty-three million, four hundred two thousand, eight hundred thirty-two".