15200082 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 4822272.

The previous prime is 15200071. The next prime is 15200083. The reversal of 15200082 is 28000251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (15200083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134458 + ... + 134570.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 2^15200082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15200082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

15200082 is an abundant number, since it is smaller than the sum of its proper divisors (20258478).

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

15200082 is a wasteful number, since it uses less digits than its factorization.

15200082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 15200082 is about 3898.7282541875. The cubic root of 15200082 is about 247.7129113731.

The spelling of 15200082 in words is "fifteen million, two hundred thousand, eighty-two".