252220140 has 72 divisors (see below), whose sum is σ = 774795840. Its totient is φ = 66403584.

The previous prime is 252220127. The next prime is 252220147. The reversal of 252220140 is 41022252.

252220140 is a `hidden beast` number, since 2 + 522 + 2 + 0 + 140 = 666.

It is a super-2 number, since 2×252220140² = 127229998043239200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (252220147) 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 23 ways as a sum of consecutive naturals, for example, 5352 + ... + 23088.

Almost surely, 2^252220140 is an apocalyptic number.

252220140 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 252220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387397920).

252220140 is an abundant number, since it is smaller than the sum of its proper divisors (522575700).

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

252220140 is a wasteful number, since it uses less digits than its factorization.

252220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17831 (or 17826 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252220140 is about 15881.4401110227. The cubic root of 252220140 is about 631.8198326099.

Adding to 252220140 its reverse (41022252), we get a palindrome (293242392).

The spelling of 252220140 in words is "two hundred fifty-two million, two hundred twenty thousand, one hundred forty".