230032000 has 128 divisors (see below), whose sum is σ = 624386880. Its totient is φ = 83584000.

The previous prime is 230031961. The next prime is 230032021. The reversal of 230032000 is 230032.

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 (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175347 + ... + 176653.

Almost surely, 2^230032000 is an apocalyptic number.

230032000 is a gapful number since it is divisible by the number (20) 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 230032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312193440).

230032000 is an abundant number, since it is smaller than the sum of its proper divisors (394354880).

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

230032000 is a wasteful number, since it uses less digits than its factorization.

230032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 230032000 is about 15166.8058601671. The cubic root of 230032000 is about 612.7209809329.

Adding to 230032000 its reverse (230032), we get a palindrome (230262032).

230032000 divided by its reverse (230032) gives a cube (1000 = 10³).

The spelling of 230032000 in words is "two hundred thirty million, thirty-two thousand".