Search a number
-
+
247995217 is a prime number
BaseRepresentation
bin11101100100000…
…01101101010001
3122021122110111001
432302001231101
51001441321332
640335222001
76100632061
oct1662015521
9567573431
10247995217
11117a94528
126b077901
133c4c0042
1424d173a1
1516b8a0e7
hexec81b51

247995217 has 2 divisors, whose sum is σ = 247995218. Its totient is φ = 247995216.

The previous prime is 247995199. The next prime is 247995227. The reversal of 247995217 is 712599742.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156525121 + 91470096 = 12511^2 + 9564^2 .

It is a cyclic number.

It is not a de Polignac number, because 247995217 - 219 = 247470929 is a prime.

It is a super-3 number, since 3×2479952173 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (247995227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123997608 + 123997609.

It is an arithmetic number, because the mean of its divisors is an integer number (123997609).

Almost surely, 2247995217 is an apocalyptic number.

It is an amenable number.

247995217 is a deficient number, since it is larger than the sum of its proper divisors (1).

247995217 is an equidigital number, since it uses as much as digits as its factorization.

247995217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 46.

The square root of 247995217 is about 15747.8638868895. The cubic root of 247995217 is about 628.2720914137.

The spelling of 247995217 in words is "two hundred forty-seven million, nine hundred ninety-five thousand, two hundred seventeen".