253201220 has 48 divisors (see below), whose sum is σ = 571656960. Its totient is φ = 93901824.

The previous prime is 253201219. The next prime is 253201231. The reversal of 253201220 is 22102352.

253201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253201220² = 128221715618976800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10772 + ... + 24948.

It is an arithmetic number, because the mean of its divisors is an integer number (11909520).

Almost surely, 2^253201220 is an apocalyptic number.

253201220 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 253201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285828480).

253201220 is an abundant number, since it is smaller than the sum of its proper divisors (318455740).

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

253201220 is a wasteful number, since it uses less digits than its factorization.

253201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14252 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 253201220 is about 15912.2977599088. The cubic root of 253201220 is about 632.6379853825.

Adding to 253201220 its reverse (22102352), we get a palindrome (275303572).

The spelling of 253201220 in words is "two hundred fifty-three million, two hundred one thousand, two hundred twenty".