230424200 has 24 divisors (see below), whose sum is σ = 535736730. Its totient is φ = 92169600.

The previous prime is 230424193. The next prime is 230424251. The reversal of 230424200 is 2424032.

It can be written as a sum of positive squares in 3 ways, for example, as 146555236 + 83868964 = 12106^2 + 9158^2 .

It is a super-3 number, since 3×230424200³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575861 + ... + 576260.

Almost surely, 2^230424200 is an apocalyptic number.

230424200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230424200 is an abundant number, since it is smaller than the sum of its proper divisors (305312530).

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

230424200 is a wasteful number, since it uses less digits than its factorization.

230424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152137 (or 1152128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 230424200 is about 15179.7299053705. The cubic root of 230424200 is about 613.0690089230.

Adding to 230424200 its reverse (2424032), we get a palindrome (232848232).

It can be divided in two parts, 230424 and 200, that multiplied together give a triangular number (46084800 = T₉₆₀₀).

The spelling of 230424200 in words is "two hundred thirty million, four hundred twenty-four thousand, two hundred".