220594400 has 72 divisors (see below), whose sum is σ = 579978504. Its totient is φ = 81446400.

The previous prime is 220594399. The next prime is 220594411. The reversal of 220594400 is 4495022.

220594400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220594400² = 97323778622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 220594400.

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, 206 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (8055257).

Almost surely, 2^220594400 is an apocalyptic number.

220594400 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 220594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289989252).

220594400 is an abundant number, since it is smaller than the sum of its proper divisors (359384104).

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

220594400 is a wasteful number, since it uses less digits than its factorization.

220594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21244 (or 21231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 220594400 is about 14852.4206781252. The cubic root of 220594400 is about 604.2242636066.

The spelling of 220594400 in words is "two hundred twenty million, five hundred ninety-four thousand, four hundred".