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258233 is a prime number
BaseRepresentation
bin111111000010111001
3111010020012
4333002321
531230413
65311305
72123603
oct770271
9433205
10258233
11167018
12105535
1390701
146a173
15517a8
hex3f0b9

258233 has 2 divisors, whose sum is σ = 258234. Its totient is φ = 258232.

The previous prime is 258211. The next prime is 258241. The reversal of 258233 is 332852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 169 = 508^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 258233 - 216 = 192697 is a prime.

It is a Chen prime.

It is equal to p22694 and since 258233 and 22694 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 258199 and 258208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258233.

It is not a weakly prime, because it can be changed into another prime (258253) 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 as a sum of consecutive naturals, namely, 129116 + 129117.

It is an arithmetic number, because the mean of its divisors is an integer number (129117).

2258233 is an apocalyptic number.

It is an amenable number.

258233 is a deficient number, since it is larger than the sum of its proper divisors (1).

258233 is an equidigital number, since it uses as much as digits as its factorization.

258233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 23.

The square root of 258233 is about 508.1663113588. The cubic root of 258233 is about 63.6801259278.

The spelling of 258233 in words is "two hundred fifty-eight thousand, two hundred thirty-three".