Search a number
-
+
331914257 is a prime number
BaseRepresentation
bin10011110010001…
…001110000010001
3212010112222202122
4103302021300101
51134432224012
652534024025
711140140023
oct2362116021
9763488678
10331914257
111603a2104
12931a8015
13539c318c
1432120013
151e214e72
hex13c89c11

331914257 has 2 divisors, whose sum is σ = 331914258. Its totient is φ = 331914256.

The previous prime is 331914227. The next prime is 331914299. The reversal of 331914257 is 752419133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315986176 + 15928081 = 17776^2 + 3991^2 .

It is a cyclic number.

It is not a de Polignac number, because 331914257 - 210 = 331913233 is a prime.

It is a super-2 number, since 2×3319142572 = 220334147999724098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331914217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165957128 + 165957129.

It is an arithmetic number, because the mean of its divisors is an integer number (165957129).

Almost surely, 2331914257 is an apocalyptic number.

It is an amenable number.

331914257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331914257 is an equidigital number, since it uses as much as digits as its factorization.

331914257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22680, while the sum is 35.

The square root of 331914257 is about 18218.5141271181. The cubic root of 331914257 is about 692.3759421886.

It can be divided in two parts, 3319 and 14257, that added together give a cube (17576 = 263).

The spelling of 331914257 in words is "three hundred thirty-one million, nine hundred fourteen thousand, two hundred fifty-seven".