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205834241 is a prime number
BaseRepresentation
bin11000100010011…
…00100000000001
3112100022110111102
430101030200001
5410143143431
632231424145
75046363554
oct1421144001
9470273442
10205834241
11a6208348
1258b25055
133384aa12
141d4a069b
151310cdcb
hexc44c801

205834241 has 2 divisors, whose sum is σ = 205834242. Its totient is φ = 205834240.

The previous prime is 205834207. The next prime is 205834243. The reversal of 205834241 is 142438502.

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., 204633025 + 1201216 = 14305^2 + 1096^2 .

It is a cyclic number.

It is not a de Polignac number, because 205834241 - 26 = 205834177 is a prime.

Together with 205834243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205834243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102917120 + 102917121.

It is an arithmetic number, because the mean of its divisors is an integer number (102917121).

Almost surely, 2205834241 is an apocalyptic number.

It is an amenable number.

205834241 is a deficient number, since it is larger than the sum of its proper divisors (1).

205834241 is an equidigital number, since it uses as much as digits as its factorization.

205834241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 205834241 is about 14346.9244439357. The cubic root of 205834241 is about 590.4356076345.

The spelling of 205834241 in words is "two hundred five million, eight hundred thirty-four thousand, two hundred forty-one".