Search a number
-
+
314250241 is a prime number
BaseRepresentation
bin10010101110110…
…001010000000001
3210220022120021211
4102232301100001
51120422001431
651103250121
710534040314
oct2256612001
9726276254
10314250241
11151427948
12892a9941
135014a0b6
142da4297b
151c8c62b1
hex12bb1401

314250241 has 2 divisors, whose sum is σ = 314250242. Its totient is φ = 314250240.

The previous prime is 314250217. The next prime is 314250247. The reversal of 314250241 is 142052413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309056400 + 5193841 = 17580^2 + 2279^2 .

It is a cyclic number.

It is not a de Polignac number, because 314250241 - 27 = 314250113 is a prime.

It is not a weakly prime, because it can be changed into another prime (314250247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157125120 + 157125121.

It is an arithmetic number, because the mean of its divisors is an integer number (157125121).

Almost surely, 2314250241 is an apocalyptic number.

It is an amenable number.

314250241 is a deficient number, since it is larger than the sum of its proper divisors (1).

314250241 is an equidigital number, since it uses as much as digits as its factorization.

314250241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 314250241 is about 17727.1046987375. The cubic root of 314250241 is about 679.8689489378.

The spelling of 314250241 in words is "three hundred fourteen million, two hundred fifty thousand, two hundred forty-one".