230137600 has 216 divisors, whose sum is σ = 711704448. Its totient is φ = 71577600.

The previous prime is 230137577. The next prime is 230137601. The reversal of 230137600 is 6731032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230137601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492567 + ... + 493033.

It is an arithmetic number, because the mean of its divisors is an integer number (3294928).

Almost surely, 2^230137600 is an apocalyptic number.

230137600 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 230137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355852224).

230137600 is an abundant number, since it is smaller than the sum of its proper divisors (481566848).

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

230137600 is a wasteful number, since it uses less digits than its factorization.

230137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 230137600 is about 15170.2867474547. The cubic root of 230137600 is about 612.8147264945.

Adding to 230137600 its reverse (6731032), we get a palindrome (236868632).

The spelling of 230137600 in words is "two hundred thirty million, one hundred thirty-seven thousand, six hundred".