220109472 has 288 divisors, whose sum is σ = 745827264. Its totient is φ = 60825600.

The previous prime is 220109467. The next prime is 220109497. The reversal of 220109472 is 274901022.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3285183 + ... + 3285249.

It is an arithmetic number, because the mean of its divisors is an integer number (2589678).

Almost surely, 2^220109472 is an apocalyptic number.

220109472 is a gapful number since it is divisible by the number (22) 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 220109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372913632).

220109472 is an abundant number, since it is smaller than the sum of its proper divisors (525717792).

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

220109472 is a wasteful number, since it uses less digits than its factorization.

220109472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 220109472 is about 14836.0868155993. The cubic root of 220109472 is about 603.7811876435.

The spelling of 220109472 in words is "two hundred twenty million, one hundred nine thousand, four hundred seventy-two".