22724424400 has 60 divisors (see below), whose sum is σ = 54611277472. Its totient is φ = 9087131520.

The previous prime is 22724424397. The next prime is 22724424439. The reversal of 22724424400 is 442442722.

It is a happy number.

It is a super-2 number, since 2×22724424400² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1955407 + ... + 1966993.

Almost surely, 2^22724424400 is an apocalyptic number.

22724424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22724424400 is an abundant number, since it is smaller than the sum of its proper divisors (31886853072).

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

22724424400 is a wasteful number, since it uses less digits than its factorization.

22724424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 31.

The spelling of 22724424400 in words is "twenty-two billion, seven hundred twenty-four million, four hundred twenty-four thousand, four hundred".