252231220 has 48 divisors (see below), whose sum is σ = 546387408. Its totient is φ = 97735680.

The previous prime is 252231211. The next prime is 252231229. The reversal of 252231220 is 22132252.

252231220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252231211) and next prime (252231229).

It can be written as a sum of positive squares in 8 ways, for example, as 501264 + 251729956 = 708^2 + 15866^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252231229) 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, 207334 + ... + 208546.

It is an arithmetic number, because the mean of its divisors is an integer number (11383071).

Almost surely, 2^252231220 is an apocalyptic number.

252231220 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 252231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273193704).

252231220 is an abundant number, since it is smaller than the sum of its proper divisors (294156188).

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

252231220 is a wasteful number, since it uses less digits than its factorization.

252231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 252231220 is about 15881.7889420556. The cubic root of 252231220 is about 631.8290843972.

Adding to 252231220 its reverse (22132252), we get a palindrome (274363472).

The spelling of 252231220 in words is "two hundred fifty-two million, two hundred thirty-one thousand, two hundred twenty".