Search a number
-
+
258093221 is a prime number
BaseRepresentation
bin11110110001000…
…11000010100101
3122222122111100012
433120203002211
51012032440341
641335500005
76252520241
oct1730430245
9588574305
10258093221
11122761291
1272527605
13416173a9
14263c5421
15179d20eb
hexf6230a5

258093221 has 2 divisors, whose sum is σ = 258093222. Its totient is φ = 258093220.

The previous prime is 258093203. The next prime is 258093223. The reversal of 258093221 is 122390852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196392196 + 61701025 = 14014^2 + 7855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258093221 is a prime.

It is a super-2 number, since 2×2580932212 = 133224221452309682, which contains 22 as substring.

Together with 258093223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258093223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129046610 + 129046611.

It is an arithmetic number, because the mean of its divisors is an integer number (129046611).

Almost surely, 2258093221 is an apocalyptic number.

It is an amenable number.

258093221 is a deficient number, since it is larger than the sum of its proper divisors (1).

258093221 is an equidigital number, since it uses as much as digits as its factorization.

258093221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 258093221 is about 16065.2799851107. The cubic root of 258093221 is about 636.6863404402.

The spelling of 258093221 in words is "two hundred fifty-eight million, ninety-three thousand, two hundred twenty-one".