220400292 has 48 divisors (see below), whose sum is σ = 590308992. Its totient is φ = 62695680.

The previous prime is 220400269. The next prime is 220400293. The reversal of 220400292 is 292004022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220400293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13942 + ... + 25202.

It is an arithmetic number, because the mean of its divisors is an integer number (12298104).

Almost surely, 2^220400292 is an apocalyptic number.

It is an amenable number.

220400292 is an abundant number, since it is smaller than the sum of its proper divisors (369908700).

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

220400292 is a wasteful number, since it uses less digits than its factorization.

220400292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 220400292 is about 14845.8846822950. The cubic root of 220400292 is about 604.0469862429.

The spelling of 220400292 in words is "two hundred twenty million, four hundred thousand, two hundred ninety-two".