220431300020 has 96 divisors (see below), whose sum is σ = 506191472640. Its totient is φ = 80307138560.

The previous prime is 220431300017. The next prime is 220431300043. The reversal of 220431300020 is 20003134022.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1344725 + ... + 1499715.

It is an arithmetic number, because the mean of its divisors is an integer number (5272827840).

Almost surely, 2^220431300020 is an apocalyptic number.

220431300020 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 220431300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253095736320).

220431300020 is an abundant number, since it is smaller than the sum of its proper divisors (285760172620).

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

220431300020 is a wasteful number, since it uses less digits than its factorization.

220431300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155153 (or 155151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 220431300020 its reverse (20003134022), we get a palindrome (240434434042).

The spelling of 220431300020 in words is "two hundred twenty billion, four hundred thirty-one million, three hundred thousand, twenty".