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226457076641 is a prime number
BaseRepresentation
bin1101001011100111100…
…1001100001110100001
3210122112011221102200212
43102321321030032201
512202241002423031
6252011041023505
722234550251145
oct3227171141641
9718464842625
10226457076641
11880491304a4
1237a80024b95
131847c699603
14ad63b97225
155d5601312b
hex34b9e4c3a1

226457076641 has 2 divisors, whose sum is σ = 226457076642. Its totient is φ = 226457076640.

The previous prime is 226457076583. The next prime is 226457076701. The reversal of 226457076641 is 146670754622.

226457076641 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., 221178327616 + 5278749025 = 470296^2 + 72655^2 .

It is a cyclic number.

It is not a de Polignac number, because 226457076641 - 230 = 225383334817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226457076641.

It is not a weakly prime, because it can be changed into another prime (226457376641) 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, 113228538320 + 113228538321.

It is an arithmetic number, because the mean of its divisors is an integer number (113228538321).

Almost surely, 2226457076641 is an apocalyptic number.

It is an amenable number.

226457076641 is a deficient number, since it is larger than the sum of its proper divisors (1).

226457076641 is an equidigital number, since it uses as much as digits as its factorization.

226457076641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 226457076641 in words is "two hundred twenty-six billion, four hundred fifty-seven million, seventy-six thousand, six hundred forty-one".