220992 has 28 divisors (see below), whose sum is σ = 585216. Its totient is φ = 73600.

The previous prime is 220973. The next prime is 221021. The reversal of 220992 is 299022.

220992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

220992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384 + ... + 767.

2²²⁰⁹⁹² is an apocalyptic number.

220992 is the 384-th pentagonal number.

It is an amenable number.

220992 is an abundant number, since it is smaller than the sum of its proper divisors (364224).

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

220992 is a wasteful number, since it uses less digits than its factorization.

220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 220992 is about 470.0978621521. The cubic root of 220992 is about 60.4587064257.

The spelling of 220992 in words is "two hundred twenty thousand, nine hundred ninety-two".