252532224 has 120 divisors (see below), whose sum is σ = 833049360. Its totient is φ = 72142848.

The previous prime is 252532193. The next prime is 252532277. The reversal of 252532224 is 422235252.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 28342 + ... + 36170.

It is an arithmetic number, because the mean of its divisors is an integer number (6942078).

Almost surely, 2^252532224 is an apocalyptic number.

252532224 is a gapful number since it is divisible by the number (24) 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 252532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416524680).

252532224 is an abundant number, since it is smaller than the sum of its proper divisors (580517136).

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

252532224 is an equidigital number, since it uses as much as digits as its factorization.

252532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7841 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 252532224 is about 15891.2625049113. The cubic root of 252532224 is about 632.0803187992.

Adding to 252532224 its reverse (422235252), we get a palindrome (674767476).

The spelling of 252532224 in words is "two hundred fifty-two million, five hundred thirty-two thousand, two hundred twenty-four".