8193002256 has 100 divisors (see below), whose sum is σ = 23733702300. Its totient is φ = 2728608768.

The previous prime is 8193002249. The next prime is 8193002281. The reversal of 8193002256 is 6522003918.

It can be written as a sum of positive squares in 2 ways, for example, as 5055210000 + 3137792256 = 71100^2 + 56016^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8193002256.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2083300 + ... + 2087228.

It is an arithmetic number, because the mean of its divisors is an integer number (237337023).

Almost surely, 2^8193002256 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 8193002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866851150).

8193002256 is an abundant number, since it is smaller than the sum of its proper divisors (15540700044).

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

8193002256 is a wasteful number, since it uses less digits than its factorization.

8193002256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8193002256 is about 90515.2045570246. The cubic root of 8193002256 is about 2015.9558876402.

The spelling of 8193002256 in words is "eight billion, one hundred ninety-three million, two thousand, two hundred fifty-six".