228933 has 16 divisors (see below), whose sum is σ = 347200. Its totient is φ = 149040.

The previous prime is 228929. The next prime is 228953. The reversal of 228933 is 339822.

228933 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 228933 - 2² = 228929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

228933 is strictly pandigital in base 7.

228933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 228897 and 228906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228913) 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 15 ways as a sum of consecutive naturals, for example, 1578 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (21700).

2²²⁸⁹³³ is an apocalyptic number.

It is an amenable number.

228933 is a deficient number, since it is larger than the sum of its proper divisors (118267).

228933 is a wasteful number, since it uses less digits than its factorization.

228933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 228933 is about 478.4694347605. The cubic root of 228933 is about 61.1743645036.

Subtracting 228933 from its reverse (339822), we obtain a square (110889 = 333²).

The spelling of 228933 in words is "two hundred twenty-eight thousand, nine hundred thirty-three".