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BaseRepresentation
bin10100000100011000
311011202110
4110010120
510112300
61432320
7461436
oct240430
9134673
1082200
1156838
123b6a0
132b551
1421d56
1519550
hex14118

82200 has 48 divisors (see below), whose sum is σ = 256680. Its totient is φ = 21760.

The previous prime is 82193. The next prime is 82207. The reversal of 82200 is 228.

Adding to 82200 its reverse (228), we get a palindrome (82428).

It can be divided in two parts, 82 and 200, that added together give a palindrome (282).

It is an interprime number because it is at equal distance from previous prime (82193) and next prime (82207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82200.

It is not an unprimeable number, because it can be changed into a prime (82207) by changing a digit.

82200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532 + ... + 668.

282200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128340).

82200 is an abundant number, since it is smaller than the sum of its proper divisors (174480).

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

82200 is a wasteful number, since it uses less digits than its factorization.

82200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 82200 is about 286.7054237366. The cubic root of 82200 is about 43.4801071680.

The spelling of 82200 in words is "eighty-two thousand, two hundred".