220905216 has 108 divisors (see below), whose sum is σ = 727966512. Its totient is φ = 63111168.

The previous prime is 220905199. The next prime is 220905283. The reversal of 220905216 is 612509022.

It is a super-2 number, since 2×220905216² = 97598228912013312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220905216.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9280 + ... + 22976.

Almost surely, 2^220905216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363983256).

220905216 is an abundant number, since it is smaller than the sum of its proper divisors (507061296).

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

220905216 is a wasteful number, since it uses less digits than its factorization.

220905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 220905216 is about 14862.8804745244. The cubic root of 220905216 is about 604.5079130457.

The spelling of 220905216 in words is "two hundred twenty million, nine hundred five thousand, two hundred sixteen".