82205200 has 240 divisors, whose sum is σ = 262376064. Its totient is φ = 23961600.

The previous prime is 82205177. The next prime is 82205239. The reversal of 82205200 is 250228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523522 + ... + 523678.

Almost surely, 2^82205200 is an apocalyptic number.

82205200 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 82205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131188032).

82205200 is an abundant number, since it is smaller than the sum of its proper divisors (180170864).

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

82205200 is a wasteful number, since it uses less digits than its factorization.

82205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 82205200 is about 9066.7083332376. The cubic root of 82205200 is about 434.8102400410.

Adding to 82205200 its reverse (250228), we get a palindrome (82455428).

The spelling of 82205200 in words is "eighty-two million, two hundred five thousand, two hundred".