220326972100 has 81 divisors (see below), whose sum is σ = 485503751943. Its totient is φ = 86788333440.

The previous prime is 220326972043. The next prime is 220326972101. The reversal of 220326972100 is 1279623022.

It is a happy number.

The square root of 220326972100 is 469390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1205617284 + 219121354816 = 34722^2 + 468104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220326972101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342654379 + ... + 342655021.

Almost surely, 2^220326972100 is an apocalyptic number.

220326972100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220326972100 is the 469390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220326972100

220326972100 is an abundant number, since it is smaller than the sum of its proper divisors (265176779843).

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

220326972100 is an frugal number, since it uses more digits than its factorization.

220326972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 220326972100 in words is "two hundred twenty billion, three hundred twenty-six million, nine hundred seventy-two thousand, one hundred".