220271856 has 160 divisors (see below), whose sum is σ = 703526400. Its totient is φ = 59157504.

The previous prime is 220271819. The next prime is 220271861. The reversal of 220271856 is 658172022.

220271856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 279495 + ... + 280281.

It is an arithmetic number, because the mean of its divisors is an integer number (4397040).

Almost surely, 2^220271856 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 220271856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351763200).

220271856 is an abundant number, since it is smaller than the sum of its proper divisors (483254544).

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

220271856 is a wasteful number, since it uses less digits than its factorization.

220271856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 220271856 is about 14841.5584087386. The cubic root of 220271856 is about 603.9296293906.

The spelling of 220271856 in words is "two hundred twenty million, two hundred seventy-one thousand, eight hundred fifty-six".