220402080900 has 81 divisors (see below), whose sum is σ = 690882226671. Its totient is φ = 58770132480.

The previous prime is 220402080883. The next prime is 220402080901. The reversal of 220402080900 is 9080204022.

The square root of 220402080900 is 469470.

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

220402080900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51757160004 + 168644920896 = 227502^2 + 410664^2 .

It is not an unprimeable number, because it can be changed into a prime (220402080901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14076276 + ... + 14091924.

Almost surely, 2^220402080900 is an apocalyptic number.

220402080900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220402080900 is the 469470-th square number.

It is an amenable number.

220402080900 is an abundant number, since it is smaller than the sum of its proper divisors (470480145771).

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

220402080900 is an equidigital number, since it uses as much as digits as its factorization.

220402080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 220402080900 by its product of nonzero digits (2304), we get a square (507806394393600 = 22534560²).

Adding to 220402080900 its reverse (9080204022), we get a palindrome (229482284922).

The spelling of 220402080900 in words is "two hundred twenty billion, four hundred two million, eighty thousand, nine hundred".