9225367200 has 648 divisors, whose sum is σ = 38436914880. Its totient is φ = 2075673600.

The previous prime is 9225367199. The next prime is 9225367231. The reversal of 9225367200 is 27635229.

9225367200 is a `hidden beast` number, since 92 + 2 + 5 + 367 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27871035 + ... + 27871365.

Almost surely, 2^9225367200 is an apocalyptic number.

9225367200 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 9225367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19218457440).

9225367200 is an abundant number, since it is smaller than the sum of its proper divisors (29211547680).

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

9225367200 is a wasteful number, since it uses less digits than its factorization.

9225367200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 9225367200 is about 96048.7751093162. The cubic root of 9225367200 is about 2097.3032049570.

The spelling of 9225367200 in words is "nine billion, two hundred twenty-five million, three hundred sixty-seven thousand, two hundred".