220895200 has 72 divisors (see below), whose sum is σ = 546996240. Its totient is φ = 87091200.

The previous prime is 220895189. The next prime is 220895219. The reversal of 220895200 is 2598022.

220895200 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 11 ways as a sum of consecutive naturals, for example, 54856 + ... + 58744.

It is an arithmetic number, because the mean of its divisors is an integer number (7597170).

Almost surely, 2^220895200 is an apocalyptic number.

220895200 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 220895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273498120).

220895200 is an abundant number, since it is smaller than the sum of its proper divisors (326101040).

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

220895200 is a wasteful number, since it uses less digits than its factorization.

220895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 220895200 is about 14862.5435239060. The cubic root of 220895200 is about 604.4987766344.

The spelling of 220895200 in words is "two hundred twenty million, eight hundred ninety-five thousand, two hundred".