8322283200 has 1008 divisors, whose sum is σ = 36192683520. Its totient is φ = 1635532800.

The previous prime is 8322283187. The next prime is 8322283237. The reversal of 8322283200 is 23822238.

It is a super-2 number, since 2×8322283200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93508756 + ... + 93508844.

It is an arithmetic number, because the mean of its divisors is an integer number (35905440).

Almost surely, 2^8322283200 is an apocalyptic number.

8322283200 is a gapful number since it is divisible by the number (80) 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 8322283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096341760).

8322283200 is an abundant number, since it is smaller than the sum of its proper divisors (27870400320).

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

8322283200 is a wasteful number, since it uses less digits than its factorization.

8322283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8322283200 is about 91226.5487673407. The cubic root of 8322283200 is about 2026.5041469016.

The spelling of 8322283200 in words is "eight billion, three hundred twenty-two million, two hundred eighty-three thousand, two hundred".