220344224100 has 864 divisors, whose sum is σ = 895132457856. Its totient is φ = 41107046400.

The previous prime is 220344224053. The next prime is 220344224119. The reversal of 220344224100 is 1422443022.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77776284 + ... + 77779116.

Almost surely, 2^220344224100 is an apocalyptic number.

220344224100 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 220344224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447566228928).

220344224100 is an abundant number, since it is smaller than the sum of its proper divisors (674788233756).

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

220344224100 is a wasteful number, since it uses less digits than its factorization.

220344224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220344224100 its reverse (1422443022), we get a palindrome (221766667122).

It can be divided in two parts, 220344 and 224100, that added together give a palindrome (444444).

The spelling of 220344224100 in words is "two hundred twenty billion, three hundred forty-four million, two hundred twenty-four thousand, one hundred".