230633832 has 256 divisors, whose sum is σ = 740275200. Its totient is φ = 58798080.

The previous prime is 230633827. The next prime is 230633833. The reversal of 230633832 is 238336032.

230633832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230633832.

It is not an unprimeable number, because it can be changed into a prime (230633833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3442263 + ... + 3442329.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^230633832 is an apocalyptic number.

230633832 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 230633832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

230633832 is an abundant number, since it is smaller than the sum of its proper divisors (509641368).

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

230633832 is a wasteful number, since it uses less digits than its factorization.

230633832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 230633832 is about 15186.6333332968. The cubic root of 230633832 is about 613.2548689269.

Adding to 230633832 its reverse (238336032), we get a palindrome (468969864).

The spelling of 230633832 in words is "two hundred thirty million, six hundred thirty-three thousand, eight hundred thirty-two".