252240200 has 96 divisors (see below), whose sum is σ = 632772000. Its totient is φ = 93196800.

The previous prime is 252240167. The next prime is 252240217. The reversal of 252240200 is 2042252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154991 + ... + 156609.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2^252240200 is an apocalyptic number.

252240200 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 252240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316386000).

252240200 is an abundant number, since it is smaller than the sum of its proper divisors (380531800).

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

252240200 is a wasteful number, since it uses less digits than its factorization.

252240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 252240200 is about 15882.0716532825. The cubic root of 252240200 is about 631.8365824881.

Adding to 252240200 its reverse (2042252), we get a palindrome (254282452).

The spelling of 252240200 in words is "two hundred fifty-two million, two hundred forty thousand, two hundred".