220925880 has 384 divisors, whose sum is σ = 905748480. Its totient is φ = 47278080.

The previous prime is 220925869. The next prime is 220925891. The reversal of 220925880 is 88529022.

It is an interprime number because it is at equal distance from previous prime (220925869) and next prime (220925891).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 95 ways as a sum of consecutive naturals, for example, 1156585 + ... + 1156775.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^220925880 is an apocalyptic number.

220925880 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 220925880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

220925880 is an abundant number, since it is smaller than the sum of its proper divisors (684822600).

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

220925880 is a wasteful number, since it uses less digits than its factorization.

220925880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 220925880 is about 14863.5756128867. The cubic root of 220925880 is about 604.5267614946.

It can be divided in two parts, 22092 and 5880, that added together give a palindrome (27972).

The spelling of 220925880 in words is "two hundred twenty million, nine hundred twenty-five thousand, eight hundred eighty".