220288512 has 80 divisors (see below), whose sum is σ = 590966640. Its totient is φ = 72916992.

The previous prime is 220288459. The next prime is 220288529. The reversal of 220288512 is 215882022.

It is a self number, because there is not a number n which added to its sum of digits gives 220288512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265314 + ... + 266142.

It is an arithmetic number, because the mean of its divisors is an integer number (7387083).

Almost surely, 2^220288512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295483320).

220288512 is an abundant number, since it is smaller than the sum of its proper divisors (370678128).

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

220288512 is an equidigital number, since it uses as much as digits as its factorization.

220288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 220288512 is about 14842.1195251891. The cubic root of 220288512 is about 603.9448511845.

The spelling of 220288512 in words is "two hundred twenty million, two hundred eighty-eight thousand, five hundred twelve".