226604560900 has 81 divisors (see below), whose sum is σ = 496350896223. Its totient is φ = 89798299200.

The previous prime is 226604560873. The next prime is 226604560921. The reversal of 226604560900 is 9065406622.

The square root of 226604560900 is 476030.

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 121618192644 + 104986368256 = 348738^2 + 324016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 861614169 + ... + 861614431.

Almost surely, 2^226604560900 is an apocalyptic number.

226604560900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226604560900 is the 476030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226604560900

226604560900 is an abundant number, since it is smaller than the sum of its proper divisors (269746335323).

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

226604560900 is an equidigital number, since it uses as much as digits as its factorization.

226604560900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 226604560900 in words is "two hundred twenty-six billion, six hundred four million, five hundred sixty thousand, nine hundred".