Search a number
-
+
312249193 is a prime number
BaseRepresentation
bin10010100111001…
…000101101101001
3210202112220100221
4102213020231221
51114413433233
650552330041
710511034334
oct2247105551
9722486327
10312249193
11150290493
12886a3921
134c8c9349
142d68161b
151c62d42d
hex129c8b69

312249193 has 2 divisors, whose sum is σ = 312249194. Its totient is φ = 312249192.

The previous prime is 312249163. The next prime is 312249199. The reversal of 312249193 is 391942213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286726489 + 25522704 = 16933^2 + 5052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312249193 is a prime.

It is not a weakly prime, because it can be changed into another prime (312249199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156124596 + 156124597.

It is an arithmetic number, because the mean of its divisors is an integer number (156124597).

Almost surely, 2312249193 is an apocalyptic number.

It is an amenable number.

312249193 is a deficient number, since it is larger than the sum of its proper divisors (1).

312249193 is an equidigital number, since it uses as much as digits as its factorization.

312249193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 34.

The square root of 312249193 is about 17670.5742125150. The cubic root of 312249193 is about 678.4228102416.

The spelling of 312249193 in words is "three hundred twelve million, two hundred forty-nine thousand, one hundred ninety-three".