220952160 has 576 divisors, whose sum is σ = 941129280. Its totient is φ = 46448640.

The previous prime is 220952153. The next prime is 220952183. The reversal of 220952160 is 61259022.

220952160 is digitally balanced in base 2, 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 95 ways as a sum of consecutive naturals, for example, 5971662 + ... + 5971698.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^220952160 is an apocalyptic number.

220952160 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 220952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

220952160 is an abundant number, since it is smaller than the sum of its proper divisors (720177120).

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

220952160 is a wasteful number, since it uses less digits than its factorization.

220952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 220952160 is about 14864.4596269087. The cubic root of 220952160 is about 604.5507308208.

The spelling of 220952160 in words is "two hundred twenty million, nine hundred fifty-two thousand, one hundred sixty".