9221284800 has 1008 divisors, whose sum is σ = 41822656512. Its totient is φ = 1874534400.

The previous prime is 9221284799. The next prime is 9221284829. The reversal of 9221284800 is 84821229.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×9221284800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40622287 + ... + 40622513.

Almost surely, 2^9221284800 is an apocalyptic number.

9221284800 is a gapful number since it is divisible by the number (90) 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 9221284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911328256).

9221284800 is an abundant number, since it is smaller than the sum of its proper divisors (32601371712).

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

9221284800 is a wasteful number, since it uses less digits than its factorization.

9221284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9221284800 is about 96027.5210551642. The cubic root of 9221284800 is about 2096.9937938271.

The spelling of 9221284800 in words is "nine billion, two hundred twenty-one million, two hundred eighty-four thousand, eight hundred".