228193 has 6 divisors (see below), whose sum is σ = 265506. Its totient is φ = 195552.

The previous prime is 228181. The next prime is 228197. The reversal of 228193 is 391822.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 74529 = 392^2 + 273^2 .

It is a de Polignac number, because none of the positive numbers 2^k-228193 is a prime.

It is a Duffinian number.

228193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (228197) 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 5 ways as a sum of consecutive naturals, for example, 2280 + ... + 2377.

It is an arithmetic number, because the mean of its divisors is an integer number (44251).

2²²⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

228193 is a deficient number, since it is larger than the sum of its proper divisors (37313).

228193 is an equidigital number, since it uses as much as digits as its factorization.

228193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4664 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 228193 is about 477.6955097130. The cubic root of 228193 is about 61.1083802881.

It can be divided in two parts, 22819 and 3, that added together give a palindrome (22822).

The spelling of 228193 in words is "two hundred twenty-eight thousand, one hundred ninety-three".