252021220 has 72 divisors (see below), whose sum is σ = 585591552. Its totient is φ = 91037760.

The previous prime is 252021199. The next prime is 252021233. The reversal of 252021220 is 22120252.

It is a junction number, because it is equal to n+sod(n) for n = 252021194 and 252021203.

It is an unprimeable number.

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, 539427 + ... + 539893.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2^252021220 is an apocalyptic number.

252021220 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 252021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

252021220 is an abundant number, since it is smaller than the sum of its proper divisors (333570332).

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

252021220 is a wasteful number, since it uses less digits than its factorization.

252021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 252021220 is about 15875.1762194944. The cubic root of 252021220 is about 631.6536885208.

Adding to 252021220 its reverse (22120252), we get a palindrome (274141472).

The spelling of 252021220 in words is "two hundred fifty-two million, twenty-one thousand, two hundred twenty".