220820442220 has 96 divisors (see below), whose sum is σ = 544994214912. Its totient is φ = 73568694528.

The previous prime is 220820442211. The next prime is 220820442223. The reversal of 220820442220 is 22244028022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (220820442223) 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, 4049577 + ... + 4103743.

It is an arithmetic number, because the mean of its divisors is an integer number (5677023072).

Almost surely, 2^220820442220 is an apocalyptic number.

220820442220 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 220820442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272497107456).

220820442220 is an abundant number, since it is smaller than the sum of its proper divisors (324173772692).

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

220820442220 is a wasteful number, since it uses less digits than its factorization.

220820442220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55007 (or 55005 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 220820442220 in words is "two hundred twenty billion, eight hundred twenty million, four hundred forty-two thousand, two hundred twenty".