220885140 has 96 divisors (see below), whose sum is σ = 721324800. Its totient is φ = 50483328.

The previous prime is 220885111. The next prime is 220885151. The reversal of 220885140 is 41588022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220885098 and 220885107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15214 + ... + 25946.

It is an arithmetic number, because the mean of its divisors is an integer number (7513800).

Almost surely, 2^220885140 is an apocalyptic number.

220885140 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 220885140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360662400).

220885140 is an abundant number, since it is smaller than the sum of its proper divisors (500439660).

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

220885140 is a wasteful number, since it uses less digits than its factorization.

220885140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 220885140 is about 14862.2050853835. The cubic root of 220885140 is about 604.4895998090.

The spelling of 220885140 in words is "two hundred twenty million, eight hundred eighty-five thousand, one hundred forty".