230032200 has 192 divisors, whose sum is σ = 757094400. Its totient is φ = 57657600.

The previous prime is 230032189. The next prime is 230032207. The reversal of 230032200 is 2230032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230032207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090095 + ... + 1090305.

It is an arithmetic number, because the mean of its divisors is an integer number (3943200).

Almost surely, 2^230032200 is an apocalyptic number.

230032200 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 230032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378547200).

230032200 is an abundant number, since it is smaller than the sum of its proper divisors (527062200).

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

230032200 is a wasteful number, since it uses less digits than its factorization.

230032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230032200 is about 15166.8124535118. The cubic root of 230032200 is about 612.7211585085.

Adding to 230032200 its reverse (2230032), we get a palindrome (232262232).

The spelling of 230032200 in words is "two hundred thirty million, thirty-two thousand, two hundred".