22709084900 has 72 divisors (see below), whose sum is σ = 50290609320. Its totient is φ = 8897674240.

The previous prime is 22709084861. The next prime is 22709084911. The reversal of 22709084900 is 948090722.

It can be written as a sum of positive squares in 12 ways, for example, as 119596096 + 22589488804 = 10936^2 + 150298^2 .

It is a super-3 number, since 3×22709084900³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3584936 + ... + 3591264.

It is an arithmetic number, because the mean of its divisors is an integer number (698480685).

Almost surely, 2^22709084900 is an apocalyptic number.

22709084900 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 22709084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25145304660).

22709084900 is an abundant number, since it is smaller than the sum of its proper divisors (27581524420).

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

22709084900 is a wasteful number, since it uses less digits than its factorization.

22709084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 22709084900 in words is "twenty-two billion, seven hundred nine million, eighty-four thousand, nine hundred".