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226966753337 is a prime number
BaseRepresentation
bin1101001101100001000…
…1011101000000111001
3210200211200222200200112
43103120101131000321
512204311442101322
6252133405114105
722253306400062
oct3233021350071
9720750880615
10226966753337
118828a8a7105
1237ba2858935
131853115c05c
14adb174b569
155d85b3d5e2
hex34d845d039

226966753337 has 2 divisors, whose sum is σ = 226966753338. Its totient is φ = 226966753336.

The previous prime is 226966753217. The next prime is 226966753339. The reversal of 226966753337 is 733357669622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141153495616 + 85813257721 = 375704^2 + 292939^2 .

It is a cyclic number.

It is not a de Polignac number, because 226966753337 - 220 = 226965704761 is a prime.

Together with 226966753339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (226966753339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113483376668 + 113483376669.

It is an arithmetic number, because the mean of its divisors is an integer number (113483376669).

Almost surely, 2226966753337 is an apocalyptic number.

It is an amenable number.

226966753337 is a deficient number, since it is larger than the sum of its proper divisors (1).

226966753337 is an equidigital number, since it uses as much as digits as its factorization.

226966753337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51438240, while the sum is 59.

The spelling of 226966753337 in words is "two hundred twenty-six billion, nine hundred sixty-six million, seven hundred fifty-three thousand, three hundred thirty-seven".