9225442800 has 360 divisors, whose sum is σ = 37484996640. Its totient is φ = 2057011200.

The previous prime is 9225442789. The next prime is 9225442801. The reversal of 9225442800 is 82445229.

9225442800 is a `hidden beast` number, since 9 + 225 + 4 + 428 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225442801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028736 + ... + 1037664.

Almost surely, 2^9225442800 is an apocalyptic number.

9225442800 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 9225442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742498320).

9225442800 is an abundant number, since it is smaller than the sum of its proper divisors (28259553840).

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

9225442800 is a wasteful number, since it uses less digits than its factorization.

9225442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 9225442800 is about 96049.1686585574. The cubic root of 9225442800 is about 2097.3089339318.

The spelling of 9225442800 in words is "nine billion, two hundred twenty-five million, four hundred forty-two thousand, eight hundred".