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258022241 is a prime number
BaseRepresentation
bin11110110000100…
…01101101100001
3122222111212222022
433120101231201
51012023202431
641334151225
76252103301
oct1730215541
9588455868
10258022241
11122712a24
12724b2515
13415c0ca9
14263a7601
15179bb07b
hexf611b61

258022241 has 2 divisors, whose sum is σ = 258022242. Its totient is φ = 258022240.

The previous prime is 258022229. The next prime is 258022267. The reversal of 258022241 is 142220852.

258022241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (258022267) can be obtained adding 258022241 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252937216 + 5085025 = 15904^2 + 2255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258022241 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258022241.

It is not a weakly prime, because it can be changed into another prime (258222241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129011120 + 129011121.

It is an arithmetic number, because the mean of its divisors is an integer number (129011121).

Almost surely, 2258022241 is an apocalyptic number.

It is an amenable number.

258022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

258022241 is an equidigital number, since it uses as much as digits as its factorization.

258022241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 258022241 is about 16063.0707213783. The cubic root of 258022241 is about 636.6279685856.

The spelling of 258022241 in words is "two hundred fifty-eight million, twenty-two thousand, two hundred forty-one".