230023200 has 144 divisors (see below), whose sum is σ = 816885216. Its totient is φ = 55756800.

The previous prime is 230023169. The next prime is 230023231. The reversal of 230023200 is 2320032.

It is an interprime number because it is at equal distance from previous prime (230023169) and next prime (230023231).

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

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, 22044 + ... + 30756.

It is an arithmetic number, because the mean of its divisors is an integer number (5672814).

Almost surely, 2^230023200 is an apocalyptic number.

230023200 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 230023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408442608).

230023200 is an abundant number, since it is smaller than the sum of its proper divisors (586862016).

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

230023200 is a wasteful number, since it uses less digits than its factorization.

230023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8747 (or 8734 counting only the distinct ones).

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

The square root of 230023200 is about 15166.5157501649. The cubic root of 230023200 is about 612.7131675079.

Adding to 230023200 its reverse (2320032), we get a palindrome (232343232).

The spelling of 230023200 in words is "two hundred thirty million, twenty-three thousand, two hundred".