220890208 has 96 divisors (see below), whose sum is σ = 546594048. Its totient is φ = 85363200.

The previous prime is 220890193. The next prime is 220890217. The reversal of 220890208 is 802098022.

It is a super-3 number, since 3×220890208³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220890208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386563 + ... + 387133.

It is an arithmetic number, because the mean of its divisors is an integer number (5693688).

Almost surely, 2^220890208 is an apocalyptic number.

220890208 is a gapful number since it is divisible by the number (28) 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 220890208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273297024).

220890208 is an abundant number, since it is smaller than the sum of its proper divisors (325703840).

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

220890208 is a wasteful number, since it uses less digits than its factorization.

220890208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 220890208 is about 14862.3755840041. The cubic root of 220890208 is about 604.4942229205.

It can be divided in two parts, 2208 and 90208, that added together give a square (92416 = 304²).

The spelling of 220890208 in words is "two hundred twenty million, eight hundred ninety thousand, two hundred eight".