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226937746073 is a prime number
BaseRepresentation
bin1101001101011010001…
…0110011001010011001
3210200202200101222012102
43103112202303022121
512204232030333243
6252130451253145
722252505004563
oct3232642631231
9720680358172
10226937746073
1188275494565
1237b94baa1b5
1318528143bac
14adab95a333
155d8330d9b8
hex34d68b3299

226937746073 has 2 divisors, whose sum is σ = 226937746074. Its totient is φ = 226937746072.

The previous prime is 226937746039. The next prime is 226937746141. The reversal of 226937746073 is 370647739622.

226937746073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221136943504 + 5800802569 = 470252^2 + 76163^2 .

It is a cyclic number.

It is not a de Polignac number, because 226937746073 - 232 = 222642778777 is a prime.

It is not a weakly prime, because it can be changed into another prime (226937746873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113468873036 + 113468873037.

It is an arithmetic number, because the mean of its divisors is an integer number (113468873037).

Almost surely, 2226937746073 is an apocalyptic number.

It is an amenable number.

226937746073 is a deficient number, since it is larger than the sum of its proper divisors (1).

226937746073 is an equidigital number, since it uses as much as digits as its factorization.

226937746073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16003008, while the sum is 56.

The spelling of 226937746073 in words is "two hundred twenty-six billion, nine hundred thirty-seven million, seven hundred forty-six thousand, seventy-three".