282200 has 48 divisors (see below), whose sum is σ = 703080. Its totient is φ = 104960.

The previous prime is 282167. The next prime is 282221. The reversal of 282200 is 2282.

282200 = 94² + 95² + ... + 118².

282200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

282200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3359 + ... + 3441.

2²⁸²²⁰⁰ is an apocalyptic number.

282200 is a gapful number since it is divisible by the number (20) 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 282200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

282200 is an abundant number, since it is smaller than the sum of its proper divisors (420880).

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

282200 is a wasteful number, since it uses less digits than its factorization.

282200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 282200 is about 531.2249994117. The cubic root of 282200 is about 65.5922209693.

Adding to 282200 its reverse (2282), we get a palindrome (284482).

The spelling of 282200 in words is "two hundred eighty-two thousand, two hundred".