220063200 has 144 divisors (see below), whose sum is σ = 818697600. Its totient is φ = 50296320.

The previous prime is 220063199. The next prime is 220063211. The reversal of 220063200 is 2360022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220063200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10251 + ... + 23349.

It is an arithmetic number, because the mean of its divisors is an integer number (5685400).

Almost surely, 2^220063200 is an apocalyptic number.

220063200 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 220063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409348800).

220063200 is an abundant number, since it is smaller than the sum of its proper divisors (598634400).

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

220063200 is a wasteful number, since it uses less digits than its factorization.

220063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 220063200 is about 14834.5272927721. The cubic root of 220063200 is about 603.7388751813.

The spelling of 220063200 in words is "two hundred twenty million, sixty-three thousand, two hundred".