9225216000 has 1344 divisors, whose sum is σ = 44654029056. Its totient is φ = 1769472000.

The previous prime is 9225215969. The next prime is 9225216017. The reversal of 9225216000 is 6125229.

9225216000 is a `hidden beast` number, since 9 + 2 + 2 + 52 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×9225216000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 709631994 + ... + 709632006.

It is an arithmetic number, because the mean of its divisors is an integer number (33224724).

Almost surely, 2^9225216000 is an apocalyptic number.

9225216000 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 9225216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327014528).

9225216000 is an abundant number, since it is smaller than the sum of its proper divisors (35428813056).

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

9225216000 is a wasteful number, since it uses less digits than its factorization.

9225216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9225216000 is about 96047.9880059963. The cubic root of 9225216000 is about 2097.2917469134.

The spelling of 9225216000 in words is "nine billion, two hundred twenty-five million, two hundred sixteen thousand".