8083199250 has 192 divisors, whose sum is σ = 26078457600. Its totient is φ = 1847512800.

The previous prime is 8083199249. The next prime is 8083199251. The reversal of 8083199250 is 529913808.

It is a happy number.

8083199250 is a `hidden beast` number, since 80 + 8 + 319 + 9 + 250 = 666.

It is an interprime number because it is at equal distance from previous prime (8083199249) and next prime (8083199251).

It is a super-2 number, since 2×8083199250² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8083199196 and 8083199205.

It is not an unprimeable number, because it can be changed into a prime (8083199251) 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, 318531 + ... + 342969.

It is an arithmetic number, because the mean of its divisors is an integer number (135825300).

Almost surely, 2^8083199250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8083199250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039228800).

8083199250 is an abundant number, since it is smaller than the sum of its proper divisors (17995258350).

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

8083199250 is a wasteful number, since it uses less digits than its factorization.

8083199250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24479 (or 24456 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8083199250 is about 89906.6140503578. The cubic root of 8083199250 is about 2006.9093736239.

It can be divided in two parts, 80831 and 99250, that added together give a palindrome (180081).

The spelling of 8083199250 in words is "eight billion, eighty-three million, one hundred ninety-nine thousand, two hundred fifty".