252213180 has 48 divisors (see below), whose sum is σ = 709267104. Its totient is φ = 66964480.

The previous prime is 252213149. The next prime is 252213187. The reversal of 252213180 is 81312252.

It is a super-2 number, since 2×252213180² = 127222976331424800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252213180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252213187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4960 + ... + 23000.

It is an arithmetic number, because the mean of its divisors is an integer number (14776398).

Almost surely, 2^252213180 is an apocalyptic number.

252213180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252213180 is an abundant number, since it is smaller than the sum of its proper divisors (457053924).

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

252213180 is a wasteful number, since it uses less digits than its factorization.

252213180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18286 (or 18284 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 252213180 is about 15881.2209858058. The cubic root of 252213180 is about 631.8140208794.

The spelling of 252213180 in words is "two hundred fifty-two million, two hundred thirteen thousand, one hundred eighty".