220052880 has 120 divisors (see below), whose sum is σ = 762927360. Its totient is φ = 56782080.

The previous prime is 220052869. The next prime is 220052881. The reversal of 220052880 is 88250022.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (220052881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17391 + ... + 27249.

It is an arithmetic number, because the mean of its divisors is an integer number (6357728).

Almost surely, 2^220052880 is an apocalyptic number.

220052880 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 220052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381463680).

220052880 is an abundant number, since it is smaller than the sum of its proper divisors (542874480).

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

220052880 is a wasteful number, since it uses less digits than its factorization.

220052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 220052880 is about 14834.1794515234. The cubic root of 220052880 is about 603.7294374644.

The spelling of 220052880 in words is "two hundred twenty million, fifty-two thousand, eight hundred eighty".