22780224720 has 300 divisors, whose sum is σ = 84192366180. Its totient is φ = 5519923200.

The previous prime is 22780224671. The next prime is 22780224821. The reversal of 22780224720 is 2742208722.

It can be written as a sum of positive squares in 2 ways, for example, as 11235152016 + 11545072704 = 105996^2 + 107448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10540440 + ... + 10542600.

Almost surely, 2^22780224720 is an apocalyptic number.

22780224720 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 22780224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42096183090).

22780224720 is an abundant number, since it is smaller than the sum of its proper divisors (61412141460).

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

22780224720 is a wasteful number, since it uses less digits than its factorization.

22780224720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 22780224720 in words is "twenty-two billion, seven hundred eighty million, two hundred twenty-four thousand, seven hundred twenty".