228900 has 72 divisors (see below), whose sum is σ = 763840. Its totient is φ = 51840.

The previous prime is 228887. The next prime is 228901. The reversal of 228900 is 9822.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (228901) by changing a digit.

228900 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 23 ways as a sum of consecutive naturals, for example, 2046 + ... + 2154.

2²²⁸⁹⁰⁰ is an apocalyptic number.

228900 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 228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381920).

228900 is an abundant number, since it is smaller than the sum of its proper divisors (534940).

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

228900 is a wasteful number, since it uses less digits than its factorization.

228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 228900 is about 478.4349485562. The cubic root of 228900 is about 61.1714249958.

It can be divided in two parts, 228 and 900, that added together give a triangular number (1128 = T₄₇).

The spelling of 228900 in words is "two hundred twenty-eight thousand, nine hundred".