82231200 has 288 divisors, whose sum is σ = 307480320. Its totient is φ = 21461760.

The previous prime is 82231181. The next prime is 82231243. The reversal of 82231200 is 213228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749577 + ... + 1749623.

It is an arithmetic number, because the mean of its divisors is an integer number (1067640).

Almost surely, 2^82231200 is an apocalyptic number.

82231200 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 82231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

82231200 is an abundant number, since it is smaller than the sum of its proper divisors (225249120).

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

82231200 is an equidigital number, since it uses as much as digits as its factorization.

82231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82231200 is about 9068.1420368232. The cubic root of 82231200 is about 434.8560760489.

Adding to 82231200 its reverse (213228), we get a palindrome (82444428).

The spelling of 82231200 in words is "eighty-two million, two hundred thirty-one thousand, two hundred".