220164200 has 48 divisors (see below), whose sum is σ = 513663180. Its totient is φ = 87759360.

The previous prime is 220164199. The next prime is 220164221. The reversal of 220164200 is 2461022.

220164200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 66552964 + 153611236 = 8158^2 + 12394^2 .

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, 60842 + ... + 64358.

Almost surely, 2^220164200 is an apocalyptic number.

220164200 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 220164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256831590).

220164200 is an abundant number, since it is smaller than the sum of its proper divisors (293498980).

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

220164200 is a wasteful number, since it uses less digits than its factorization.

220164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 220164200 is about 14837.9311226330. The cubic root of 220164200 is about 603.8312248640.

The spelling of 220164200 in words is "two hundred twenty million, one hundred sixty-four thousand, two hundred".