223259 has 2 divisors, whose sum is σ = 223260. Its totient is φ = 223258.

The previous prime is 223253. The next prime is 223273. The reversal of 223259 is 952322.

223259 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223259 - 2⁴ = 223243 is a prime.

It is a super-3 number, since 3×223259³ = 33384753982688937, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2 + 2¹⁵ + 2¹⁷ + 3⁵ + 5³ + 9⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223259.

It is not a weakly prime, because it can be changed into another prime (223253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111629 + 111630.

It is an arithmetic number, because the mean of its divisors is an integer number (111630).

2²²³²⁵⁹ is an apocalyptic number.

223259 is a deficient number, since it is larger than the sum of its proper divisors (1).

223259 is an equidigital number, since it uses as much as digits as its factorization.

223259 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 23.

The square root of 223259 is about 472.5029100439. The cubic root of 223259 is about 60.6647378259.

The spelling of 223259 in words is "two hundred twenty-three thousand, two hundred fifty-nine".