22492224000 has 480 divisors, whose sum is σ = 85815574416. Its totient is φ = 5642649600.

The previous prime is 22492223981. The next prime is 22492224031. The reversal of 22492224000 is 42229422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2127792384 + 20364431616 = 46128^2 + 142704^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9790852 + ... + 9793148.

Almost surely, 2^22492224000 is an apocalyptic number.

22492224000 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 22492224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907787208).

22492224000 is an abundant number, since it is smaller than the sum of its proper divisors (63323350416).

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

22492224000 is a wasteful number, since it uses less digits than its factorization.

22492224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22492224000 in words is "twenty-two billion, four hundred ninety-two million, two hundred twenty-four thousand".