9225892224 has 320 divisors, whose sum is σ = 28364878080. Its totient is φ = 2975616000.

The previous prime is 9225892199. The next prime is 9225892241. The reversal of 9225892224 is 4222985229.

9225892224 is a `hidden beast` number, since 9 + 22 + 589 + 22 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9225892224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61098549 + ... + 61098699.

It is an arithmetic number, because the mean of its divisors is an integer number (88640244).

Almost surely, 2^9225892224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9225892224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182439040).

9225892224 is an abundant number, since it is smaller than the sum of its proper divisors (19138985856).

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

9225892224 is a wasteful number, since it uses less digits than its factorization.

9225892224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 9225892224 is about 96051.5081818084. The cubic root of 9225892224 is about 2097.3429906770.

The spelling of 9225892224 in words is "nine billion, two hundred twenty-five million, eight hundred ninety-two thousand, two hundred twenty-four".