220264920 has 384 divisors, whose sum is σ = 830269440. Its totient is φ = 52254720.

The previous prime is 220264909. The next prime is 220264921. The reversal of 220264920 is 29462022.

220264920 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220264921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5122419 + ... + 5122461.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^220264920 is an apocalyptic number.

220264920 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 220264920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

220264920 is an abundant number, since it is smaller than the sum of its proper divisors (610004520).

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

220264920 is a wasteful number, since it uses less digits than its factorization.

220264920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220264920 is about 14841.3247387152. The cubic root of 220264920 is about 603.9232904057.

The spelling of 220264920 in words is "two hundred twenty million, two hundred sixty-four thousand, nine hundred twenty".