220685900 has 72 divisors (see below), whose sum is σ = 498051456. Its totient is φ = 84787200.

The previous prime is 220685887. The next prime is 220685917. The reversal of 220685900 is 9586022.

220685900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×220685900³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796562 + ... + 796838.

Almost surely, 2^220685900 is an apocalyptic number.

220685900 is a gapful number since it is divisible by the number (20) 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 220685900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249025728).

220685900 is an abundant number, since it is smaller than the sum of its proper divisors (277365556).

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

220685900 is a wasteful number, since it uses less digits than its factorization.

220685900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 220685900 is about 14855.5006647370. The cubic root of 220685900 is about 604.3077937987.

Subtracting from 220685900 its reverse (9586022), we obtain a triangular number (211099878 = T₂₀₅₄₇).

The spelling of 220685900 in words is "two hundred twenty million, six hundred eighty-five thousand, nine hundred".