228200 has 48 divisors (see below), whose sum is σ = 610080. Its totient is φ = 77760.

The previous prime is 228199. The next prime is 228203. The reversal of 228200 is 2822.

228200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1319 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (12710).

2²²⁸²⁰⁰ is an apocalyptic number.

228200 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 228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305040).

228200 is an abundant number, since it is smaller than the sum of its proper divisors (381880).

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

228200 is a wasteful number, since it uses less digits than its factorization.

228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

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

The square root of 228200 is about 477.7028364998. The cubic root of 228200 is about 61.1090051310.

The spelling of 228200 in words is "two hundred twenty-eight thousand, two hundred".