220625600 has 84 divisors (see below), whose sum is σ = 584691744. Its totient is φ = 81454080.

The previous prime is 220625599. The next prime is 220625611. The reversal of 220625600 is 6526022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15497 + ... + 26103.

It is an arithmetic number, because the mean of its divisors is an integer number (6960616).

Almost surely, 2^220625600 is an apocalyptic number.

220625600 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 220625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292345872).

220625600 is an abundant number, since it is smaller than the sum of its proper divisors (364066144).

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

220625600 is a wasteful number, since it uses less digits than its factorization.

220625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 220625600 is about 14853.4709748261. The cubic root of 220625600 is about 604.2527486275.

The spelling of 220625600 in words is "two hundred twenty million, six hundred twenty-five thousand, six hundred".