220291920 has 80 divisors (see below), whose sum is σ = 758790720. Its totient is φ = 58743936.

The previous prime is 220291889. The next prime is 220291927. The reversal of 220291920 is 29192022.

It is a tau number, because it is divible by the number of its divisors (80).

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 (220291927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48834 + ... + 53153.

It is an arithmetic number, because the mean of its divisors is an integer number (9484884).

Almost surely, 2^220291920 is an apocalyptic number.

220291920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220291920 is an abundant number, since it is smaller than the sum of its proper divisors (538498800).

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

220291920 is a wasteful number, since it uses less digits than its factorization.

220291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102009 (or 101997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 220291920 is about 14842.2343331454. The cubic root of 220291920 is about 603.9479656357.

The spelling of 220291920 in words is "two hundred twenty million, two hundred ninety-one thousand, nine hundred twenty".