220253220 has 144 divisors (see below), whose sum is σ = 734190912. Its totient is φ = 53003520.

The previous prime is 220253219. The next prime is 220253227. The reversal of 220253220 is 22352022.

It is a super-2 number, since 2×220253220² = 97022961840736800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220253193 and 220253202.

It is not an unprimeable number, because it can be changed into a prime (220253227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342219 + ... + 342861.

It is an arithmetic number, because the mean of its divisors is an integer number (5098548).

Almost surely, 2^220253220 is an apocalyptic number.

220253220 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 220253220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367095456).

220253220 is an abundant number, since it is smaller than the sum of its proper divisors (513937692).

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

220253220 is a wasteful number, since it uses less digits than its factorization.

220253220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220253220 is about 14840.9305638157. The cubic root of 220253220 is about 603.9125971799.

The spelling of 220253220 in words is "two hundred twenty million, two hundred fifty-three thousand, two hundred twenty".