83195200 has 168 divisors, whose sum is σ = 232440480. Its totient is φ = 29030400.

The previous prime is 83195143. The next prime is 83195249. The reversal of 83195200 is 259138.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510319 + ... + 510481.

Almost surely, 2^83195200 is an apocalyptic number.

83195200 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 83195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116220240).

83195200 is an abundant number, since it is smaller than the sum of its proper divisors (149245280).

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

83195200 is a wasteful number, since it uses less digits than its factorization.

83195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 83195200 is about 9121.1402795922. The cubic root of 83195200 is about 436.5487577331.

The spelling of 83195200 in words is "eighty-three million, one hundred ninety-five thousand, two hundred".