22656270400 has 189 divisors, whose sum is σ = 57631849303. Its totient is φ = 8766284800.

The previous prime is 22656270331. The next prime is 22656270419. The reversal of 22656270400 is 407265622.

The square root of 22656270400 is 150520.

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 170668096 + 22485602304 = 13064^2 + 149952^2 .

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, 319102365 + ... + 319102435.

Almost surely, 2^22656270400 is an apocalyptic number.

22656270400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22656270400 is the 150520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22656270400

22656270400 is an abundant number, since it is smaller than the sum of its proper divisors (34975578903).

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

22656270400 is an frugal number, since it uses more digits than its factorization.

22656270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 22656270400 in words is "twenty-two billion, six hundred fifty-six million, two hundred seventy thousand, four hundred".