220053504 has 180 divisors, whose sum is σ = 662417672. Its totient is φ = 64880640.

The previous prime is 220053499. The next prime is 220053517. The reversal of 220053504 is 405350022.

220053504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947374 + ... + 5947410.

Almost surely, 2^220053504 is an apocalyptic number.

220053504 is a gapful number since it is divisible by the number (24) 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 220053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331208836).

220053504 is an abundant number, since it is smaller than the sum of its proper divisors (442364168).

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

220053504 is an equidigital number, since it uses as much as digits as its factorization.

220053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 220053504 is about 14834.2004840167. The cubic root of 220053504 is about 603.7300081254.

The spelling of 220053504 in words is "two hundred twenty million, fifty-three thousand, five hundred four".