228033 has 12 divisors (see below), whose sum is σ = 354900. Its totient is φ = 140256.

The previous prime is 228023. The next prime is 228049. The reversal of 228033 is 330822.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 121104 = 327^2 + 348^2 .

It is a de Polignac number, because none of the positive numbers 2^k-228033 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 227997 and 228015.

It is not an unprimeable number, because it can be changed into a prime (228013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (29575).

2²²⁸⁰³³ is an apocalyptic number.

It is an amenable number.

228033 is a deficient number, since it is larger than the sum of its proper divisors (126867).

228033 is a wasteful number, since it uses less digits than its factorization.

228033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 228033 is about 477.5280096497. The cubic root of 228033 is about 61.0940946806.

Adding to 228033 its reverse (330822), we get a palindrome (558855).

The spelling of 228033 in words is "two hundred twenty-eight thousand, thirty-three".