228896 has 24 divisors (see below), whose sum is σ = 471744. Its totient is φ = 109120.

The previous prime is 228887. The next prime is 228901. The reversal of 228896 is 698822.

228896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

228896 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 3 ways as a sum of consecutive naturals, for example, 581 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

228896 is a Friedman number, since it can be written as (9*2)^6/2-8^8, using all its digits and the basic arithmetic operations.

2²²⁸⁸⁹⁶ 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 228896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

228896 is an abundant number, since it is smaller than the sum of its proper divisors (242848).

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

228896 is a wasteful number, since it uses less digits than its factorization.

228896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 228896 is about 478.4307682413. The cubic root of 228896 is about 61.1710686726.

The spelling of 228896 in words is "two hundred twenty-eight thousand, eight hundred ninety-six".