230253200 has 60 divisors (see below), whose sum is σ = 563672628. Its totient is φ = 90355200.

The previous prime is 230253197. The next prime is 230253209. The reversal of 230253200 is 2352032.

It can be written as a sum of positive squares in 6 ways, for example, as 1517824 + 228735376 = 1232^2 + 15124^2 .

It is a super-2 number, since 2×230253200² = 106033072220480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230253209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15770 + ... + 26630.

Almost surely, 2^230253200 is an apocalyptic number.

230253200 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 230253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281836314).

230253200 is an abundant number, since it is smaller than the sum of its proper divisors (333419428).

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

230253200 is a wasteful number, since it uses less digits than its factorization.

230253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 230253200 is about 15174.0963487122. The cubic root of 230253200 is about 612.9173166033.

The spelling of 230253200 in words is "two hundred thirty million, two hundred fifty-three thousand, two hundred".