Search a number
-
+
314222329 is a prime number
BaseRepresentation
bin10010101110101…
…010011011111001
3210220021011000001
4102232222123321
51120420103304
651102513001
710533563041
oct2256523371
9726234001
10314222329
11151408983
1289295761
135013a495
142da36721
151c8bcda4
hex12baa6f9

314222329 has 2 divisors, whose sum is σ = 314222330. Its totient is φ = 314222328.

The previous prime is 314222327. The next prime is 314222341. The reversal of 314222329 is 923222413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273836304 + 40386025 = 16548^2 + 6355^2 .

It is a cyclic number.

It is not a de Polignac number, because 314222329 - 21 = 314222327 is a prime.

Together with 314222327, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314222297 and 314222306.

It is not a weakly prime, because it can be changed into another prime (314222327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157111164 + 157111165.

It is an arithmetic number, because the mean of its divisors is an integer number (157111165).

Almost surely, 2314222329 is an apocalyptic number.

It is an amenable number.

314222329 is a deficient number, since it is larger than the sum of its proper divisors (1).

314222329 is an equidigital number, since it uses as much as digits as its factorization.

314222329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 28.

The square root of 314222329 is about 17726.3174122546. The cubic root of 314222329 is about 679.8488194767.

The spelling of 314222329 in words is "three hundred fourteen million, two hundred twenty-two thousand, three hundred twenty-nine".