8833204224 has 240 divisors, whose sum is σ = 28420602210. Its totient is φ = 2717908992.

The previous prime is 8833204207. The next prime is 8833204229. The reversal of 8833204224 is 4224023388.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8493465600 + 339738624 = 92160^2 + 18432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8833204229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 679477242 + ... + 679477254.

Almost surely, 2^8833204224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8833204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210301105).

8833204224 is an abundant number, since it is smaller than the sum of its proper divisors (19587397986).

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

8833204224 is an frugal number, since it uses more digits than its factorization.

8833204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8833204224 is about 93985.1276745422. The cubic root of 8833204224 is about 2067.1536430415.

The spelling of 8833204224 in words is "eight billion, eight hundred thirty-three million, two hundred four thousand, two hundred twenty-four".