230332032 has 128 divisors (see below), whose sum is σ = 776995200. Its totient is φ = 65802240.

The previous prime is 230332021. The next prime is 230332043. The reversal of 230332032 is 230233032.

It is an interprime number because it is at equal distance from previous prime (230332021) and next prime (230332043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230331996 and 230332014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19432 + ... + 28952.

It is an arithmetic number, because the mean of its divisors is an integer number (6070275).

Almost surely, 2^230332032 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 230332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388497600).

230332032 is an abundant number, since it is smaller than the sum of its proper divisors (546663168).

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

230332032 is an equidigital number, since it uses as much as digits as its factorization.

230332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230332032 is about 15176.6937110821. The cubic root of 230332032 is about 612.9872569774.

Adding to 230332032 its reverse (230233032), we get a palindrome (460565064).

The spelling of 230332032 in words is "two hundred thirty million, three hundred thirty-two thousand, thirty-two".