Search a number
-
+
257242201 is a prime number
BaseRepresentation
bin11110101010100…
…11010001011001
3122221001020221221
433111103101121
51011323222301
641305332041
76242344156
oct1725232131
9587036857
10257242201
1112222a967
1272197021
13413a9c28
142624322d
15178b4da1
hexf553459

257242201 has 2 divisors, whose sum is σ = 257242202. Its totient is φ = 257242200.

The previous prime is 257242171. The next prime is 257242217. The reversal of 257242201 is 102242752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227255625 + 29986576 = 15075^2 + 5476^2 .

It is a cyclic number.

It is not a de Polignac number, because 257242201 - 223 = 248853593 is a prime.

It is not a weakly prime, because it can be changed into another prime (257242261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128621100 + 128621101.

It is an arithmetic number, because the mean of its divisors is an integer number (128621101).

Almost surely, 2257242201 is an apocalyptic number.

It is an amenable number.

257242201 is a deficient number, since it is larger than the sum of its proper divisors (1).

257242201 is an equidigital number, since it uses as much as digits as its factorization.

257242201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 257242201 is about 16038.7718045990. The cubic root of 257242201 is about 635.9857803408.

Adding to 257242201 its reverse (102242752), we get a palindrome (359484953).

The spelling of 257242201 in words is "two hundred fifty-seven million, two hundred forty-two thousand, two hundred one".