22285827200 has 648 divisors, whose sum is σ = 71820094905. Its totient is φ = 6809886720.

The previous prime is 22285827163. The next prime is 22285827209. The reversal of 22285827200 is 272858222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 5275407424 + 17010419776 = 72632^2 + 130424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105560.

It is not an unprimeable number, because it can be changed into a prime (22285827209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 768476786 + ... + 768476814.

Almost surely, 2^22285827200 is an apocalyptic number.

22285827200 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 22285827200

22285827200 is an abundant number, since it is smaller than the sum of its proper divisors (49534267705).

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

22285827200 is a wasteful number, since it uses less digits than its factorization.

22285827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The spelling of 22285827200 in words is "twenty-two billion, two hundred eighty-five million, eight hundred twenty-seven thousand, two hundred".