232633632 has 144 divisors (see below), whose sum is σ = 767382336. Its totient is φ = 60403200.

The previous prime is 232633567. The next prime is 232633633. The reversal of 232633632 is 236336232.

It is a super-2 number, since 2×232633632² = 108236813475022848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 232633632.

It is not an unprimeable number, because it can be changed into a prime (232633633) 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, 79882 + ... + 82742.

It is an arithmetic number, because the mean of its divisors is an integer number (5329044).

Almost surely, 2^232633632 is an apocalyptic number.

232633632 is a gapful number since it is divisible by the number (22) 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 232633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383691168).

232633632 is an abundant number, since it is smaller than the sum of its proper divisors (534748704).

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

232633632 is a wasteful number, since it uses less digits than its factorization.

232633632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2884 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The square root of 232633632 is about 15252.3320184161. The cubic root of 232633632 is about 615.0222584316.

Adding to 232633632 its reverse (236336232), we get a palindrome (468969864).

The spelling of 232633632 in words is "two hundred thirty-two million, six hundred thirty-three thousand, six hundred thirty-two".