Search a number
-
+
254255201 is a prime number
BaseRepresentation
bin11110010011110…
…10000001100001
3122201102111120022
433021322001201
51010042131301
641121323225
76205063544
oct1711720141
9581374508
10254255201
1112057a772
1271196515
13408a2485
1425aa685b
15174c4d1b
hexf27a061

254255201 has 2 divisors, whose sum is σ = 254255202. Its totient is φ = 254255200.

The previous prime is 254255153. The next prime is 254255233. The reversal of 254255201 is 102552452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247747600 + 6507601 = 15740^2 + 2551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254255201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (254255291) 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, 127127600 + 127127601.

It is an arithmetic number, because the mean of its divisors is an integer number (127127601).

Almost surely, 2254255201 is an apocalyptic number.

It is an amenable number.

254255201 is a deficient number, since it is larger than the sum of its proper divisors (1).

254255201 is an equidigital number, since it uses as much as digits as its factorization.

254255201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 254255201 is about 15945.3818079091. The cubic root of 254255201 is about 633.5145811510.

The spelling of 254255201 in words is "two hundred fifty-four million, two hundred fifty-five thousand, two hundred one".