220258400 has 36 divisors (see below), whose sum is σ = 537707772. Its totient is φ = 88103040.

The previous prime is 220258397. The next prime is 220258421. The reversal of 220258400 is 4852022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136862 + ... + 138461.

It is an arithmetic number, because the mean of its divisors is an integer number (14936327).

Almost surely, 2^220258400 is an apocalyptic number.

220258400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220258400 is an abundant number, since it is smaller than the sum of its proper divisors (317449372).

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

220258400 is a wasteful number, since it uses less digits than its factorization.

220258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275343 (or 275330 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 220258400 is about 14841.1050801482. The cubic root of 220258400 is about 603.9173314924.

The spelling of 220258400 in words is "two hundred twenty million, two hundred fifty-eight thousand, four hundred".