220570240 has 256 divisors, whose sum is σ = 647740800. Its totient is φ = 70778880.

The previous prime is 220570211. The next prime is 220570241. The reversal of 220570240 is 42075022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (220570241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273872 + ... + 2273968.

Almost surely, 2^220570240 is an apocalyptic number.

220570240 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 220570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

220570240 is an abundant number, since it is smaller than the sum of its proper divisors (427170560).

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

220570240 is a wasteful number, since it uses less digits than its factorization.

220570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 220570240 is about 14851.6073204216. The cubic root of 220570240 is about 604.2022041297.

The spelling of 220570240 in words is "two hundred twenty million, five hundred seventy thousand, two hundred forty".