220495200 has 72 divisors (see below), whose sum is σ = 717719688. Its totient is φ = 58798080.

The previous prime is 220495199. The next prime is 220495267. The reversal of 220495200 is 2594022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 43537 + ... + 48336.

It is an arithmetic number, because the mean of its divisors is an integer number (9968329).

Almost surely, 2^220495200 is an apocalyptic number.

220495200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220495200 is an abundant number, since it is smaller than the sum of its proper divisors (497224488).

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

220495200 is a wasteful number, since it uses less digits than its factorization.

220495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91896 (or 91883 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220495200 is about 14849.0807796308. The cubic root of 220495200 is about 604.1336779980.

The spelling of 220495200 in words is "two hundred twenty million, four hundred ninety-five thousand, two hundred".