2226500900 has 144 divisors (see below), whose sum is σ = 5478972240. Its totient is φ = 779673600.

The previous prime is 2226500893. The next prime is 2226500909. The reversal of 2226500900 is 90056222.

It can be written as a sum of positive squares in 24 ways, for example, as 2177528896 + 48972004 = 46664^2 + 6998^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2226500900.

It is not an unprimeable number, because it can be changed into a prime (2226500909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971536 + ... + 1972664.

Almost surely, 2^2226500900 is an apocalyptic number.

2226500900 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 2226500900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739486120).

2226500900 is an abundant number, since it is smaller than the sum of its proper divisors (3252471340).

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

2226500900 is a wasteful number, since it uses less digits than its factorization.

2226500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2226500900 is about 47185.8124863820. The cubic root of 2226500900 is about 1305.7928662993.

The spelling of 2226500900 in words is "two billion, two hundred twenty-six million, five hundred thousand, nine hundred".