Search a number
-
+
314355233 is a prime number
BaseRepresentation
bin10010101111001…
…010111000100001
3210220111220022102
4102233022320201
51120433331413
651105420145
710534655363
oct2257127041
9726456272
10314355233
11151499815
128933a655
1350185b1a
142da6cd33
151c8e7458
hex12bcae21

314355233 has 2 divisors, whose sum is σ = 314355234. Its totient is φ = 314355232.

The previous prime is 314355203. The next prime is 314355253. The reversal of 314355233 is 332553413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299393809 + 14961424 = 17303^2 + 3868^2 .

It is an emirp because it is prime and its reverse (332553413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314355233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314355196 and 314355205.

It is not a weakly prime, because it can be changed into another prime (314355203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157177616 + 157177617.

It is an arithmetic number, because the mean of its divisors is an integer number (157177617).

Almost surely, 2314355233 is an apocalyptic number.

It is an amenable number.

314355233 is a deficient number, since it is larger than the sum of its proper divisors (1).

314355233 is an equidigital number, since it uses as much as digits as its factorization.

314355233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16200, while the sum is 29.

The square root of 314355233 is about 17730.0657923201. The cubic root of 314355233 is about 679.9446559629.

The spelling of 314355233 in words is "three hundred fourteen million, three hundred fifty-five thousand, two hundred thirty-three".