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264249217 is a prime number
BaseRepresentation
bin11111100000000…
…01111110000001
3200102020020210001
433300001332001
51020121433332
642115440001
76356036611
oct1760017601
9612206701
10264249217
11126186391
12745b6001
13429913ab
1427148a41
15182eb0e7
hexfc01f81

264249217 has 2 divisors, whose sum is σ = 264249218. Its totient is φ = 264249216.

The previous prime is 264249211. The next prime is 264249221. The reversal of 264249217 is 712942462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214066161 + 50183056 = 14631^2 + 7084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264249217 is a prime.

It is a super-2 number, since 2×2642492172 = 139655297370226178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (264249211) 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, 132124608 + 132124609.

It is an arithmetic number, because the mean of its divisors is an integer number (132124609).

Almost surely, 2264249217 is an apocalyptic number.

It is an amenable number.

264249217 is a deficient number, since it is larger than the sum of its proper divisors (1).

264249217 is an equidigital number, since it uses as much as digits as its factorization.

264249217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 264249217 is about 16255.7441232323. The cubic root of 264249217 is about 641.7086641502.

The spelling of 264249217 in words is "two hundred sixty-four million, two hundred forty-nine thousand, two hundred seventeen".