230262032 has 120 divisors (see below), whose sum is σ = 604003008. Its totient is φ = 82748160.

The previous prime is 230261987. The next prime is 230262041.

It is a happy number.

230262032 is nontrivially palindromic in base 10.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 230261995 and 230262013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175523 + ... + 176829.

Almost surely, 2^230262032 is an apocalyptic number.

230262032 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 230262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302001504).

230262032 is an abundant number, since it is smaller than the sum of its proper divisors (373740976).

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

230262032 is a wasteful number, since it uses less digits than its factorization.

230262032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 230262032 is about 15174.3873681938. The cubic root of 230262032 is about 612.9251532176.

It can be divided in two parts, 230 and 262032, that added together give a palindrome (262262).

The spelling of 230262032 in words is "two hundred thirty million, two hundred sixty-two thousand, thirty-two".