220984920 has 192 divisors, whose sum is σ = 807468480. Its totient is φ = 52005888.

The previous prime is 220984919. The next prime is 220984949. The reversal of 220984920 is 29489022.

220984920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106614 + ... + 108666.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2^220984920 is an apocalyptic number.

220984920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220984920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403734240).

220984920 is an abundant number, since it is smaller than the sum of its proper divisors (586483560).

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

220984920 is a wasteful number, since it uses less digits than its factorization.

220984920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 220984920 is about 14865.5615433794. The cubic root of 220984920 is about 604.5806077305.

The spelling of 220984920 in words is "two hundred twenty million, nine hundred eighty-four thousand, nine hundred twenty".