22509000900 has 135 divisors (see below), whose sum is σ = 73009085149. Its totient is φ = 5998799520.

The previous prime is 22509000869. The next prime is 22509000907. The reversal of 22509000900 is 900090522.

The square root of 22509000900 is 150030.

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

It can be written as a sum of positive squares in only one way, i.e., 8103240324 + 14405760576 = 90018^2 + 120024^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22509000907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13501867 + ... + 13503533.

Almost surely, 2^22509000900 is an apocalyptic number.

22509000900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22509000900 is the 150030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22509000900

22509000900 is an abundant number, since it is smaller than the sum of its proper divisors (50500084249).

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

22509000900 is an equidigital number, since it uses as much as digits as its factorization.

22509000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 22509000900 in words is "twenty-two billion, five hundred nine million, nine hundred", and thus it is an aban number.