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264967201 is a prime number
BaseRepresentation
bin11111100101100…
…01010000100001
3200110120201200001
433302301100201
51020312422301
642143100001
76365120062
oct1762612041
9613521601
10264967201
11126626864
12748a1601
1342b83135
1427294569
15183ddc01
hexfcb1421

264967201 has 2 divisors, whose sum is σ = 264967202. Its totient is φ = 264967200.

The previous prime is 264967177. The next prime is 264967207. The reversal of 264967201 is 102769462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158382225 + 106584976 = 12585^2 + 10324^2 .

It is a cyclic number.

It is not a de Polignac number, because 264967201 - 25 = 264967169 is a prime.

It is not a weakly prime, because it can be changed into another prime (264967207) 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, 132483600 + 132483601.

It is an arithmetic number, because the mean of its divisors is an integer number (132483601).

Almost surely, 2264967201 is an apocalyptic number.

It is an amenable number.

264967201 is a deficient number, since it is larger than the sum of its proper divisors (1).

264967201 is an equidigital number, since it uses as much as digits as its factorization.

264967201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 264967201 is about 16277.8131516491. The cubic root of 264967201 is about 642.2893279932.

The spelling of 264967201 in words is "two hundred sixty-four million, nine hundred sixty-seven thousand, two hundred one".