9982265700 has 288 divisors, whose sum is σ = 33919579008. Its totient is φ = 2239488000.

The previous prime is 9982265693. The next prime is 9982265707. The reversal of 9982265700 is 75622899.

9982265700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9982265693) and next prime (9982265707).

It is a self number, because there is not a number n which added to its sum of digits gives 9982265700.

It is not an unprimeable number, because it can be changed into a prime (9982265707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3420642 + ... + 3423558.

It is an arithmetic number, because the mean of its divisors is an integer number (117776316).

Almost surely, 2^9982265700 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 9982265700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959789504).

9982265700 is an abundant number, since it is smaller than the sum of its proper divisors (23937313308).

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

9982265700 is a wasteful number, since it uses less digits than its factorization.

9982265700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 9982265700 is about 99911.2891519272. The cubic root of 9982265700 is about 2153.1603567170.

The spelling of 9982265700 in words is "nine billion, nine hundred eighty-two million, two hundred sixty-five thousand, seven hundred".