220488 has 16 divisors (see below), whose sum is σ = 551280. Its totient is φ = 73488.

The previous prime is 220471. The next prime is 220511. The reversal of 220488 is 884022.

220488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220488² = 97229916288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9187 = 220488 / (2 + 2 + 0 + 4 + 8 + 8).

It is an Ulam number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220488.

It is an unprimeable number.

220488 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, 4570 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (34455).

2²²⁰⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

220488 is an abundant number, since it is smaller than the sum of its proper divisors (330792).

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

220488 is a wasteful number, since it uses less digits than its factorization.

220488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 220488 is about 469.5614975698. The cubic root of 220488 is about 60.4127102179.

The spelling of 220488 in words is "two hundred twenty thousand, four hundred eighty-eight".