9225216 has 264 divisors, whose sum is σ = 35765184. Its totient is φ = 2211840.

The previous prime is 9225211. The next prime is 9225217. The reversal of 9225216 is 6125229.

9225216 = 48³ + 49³ + ... + 80³.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×9225216² = 170209220493312, which contains 22 as substring.

Its product of digits (2160) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9225216.

It is not an unprimeable number, because it can be changed into a prime (9225211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709626 + ... + 709638.

Almost surely, 2^9225216 is an apocalyptic number.

9225216 is a gapful number since it is divisible by the number (96) 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 9225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882592).

9225216 is an abundant number, since it is smaller than the sum of its proper divisors (26539968).

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

9225216 is a wasteful number, since it uses less digits than its factorization.

9225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

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

The square root of 9225216 is about 3037.3040677548. The cubic root of 9225216 is about 209.7291746913.

The spelling of 9225216 in words is "nine million, two hundred twenty-five thousand, two hundred sixteen".