220978208 has 144 divisors (see below), whose sum is σ = 525377664. Its totient is φ = 90616320.

The previous prime is 220978183. The next prime is 220978211. The reversal of 220978208 is 802879022.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 4701641 + ... + 4701687.

It is an arithmetic number, because the mean of its divisors is an integer number (3648456).

Almost surely, 2^220978208 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 220978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

220978208 is an abundant number, since it is smaller than the sum of its proper divisors (304399456).

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

220978208 is a wasteful number, since it uses less digits than its factorization.

220978208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 220978208 is about 14865.3357849730. The cubic root of 220978208 is about 604.5744866701.

The spelling of 220978208 in words is "two hundred twenty million, nine hundred seventy-eight thousand, two hundred eight".