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226515204761 is a prime number
BaseRepresentation
bin1101001011110101011…
…0111011101010011001
3210122200020022122111012
43102331112323222121
512202400343023021
6252020514543305
722236154320656
oct3227526735231
9718606278435
10226515204761
1188078a22a6a
1237a97597b35
131848b73c551
14ad6b7a8c2d
155d5b19635b
hex34bd5bba99

226515204761 has 2 divisors, whose sum is σ = 226515204762. Its totient is φ = 226515204760.

The previous prime is 226515204733. The next prime is 226515204763. The reversal of 226515204761 is 167402515622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225868265536 + 646939225 = 475256^2 + 25435^2 .

It is a cyclic number.

It is not a de Polignac number, because 226515204761 - 218 = 226514942617 is a prime.

Together with 226515204763, 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 (226515204763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113257602380 + 113257602381.

It is an arithmetic number, because the mean of its divisors is an integer number (113257602381).

Almost surely, 2226515204761 is an apocalyptic number.

It is an amenable number.

226515204761 is a deficient number, since it is larger than the sum of its proper divisors (1).

226515204761 is an equidigital number, since it uses as much as digits as its factorization.

226515204761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 226515204761 in words is "two hundred twenty-six billion, five hundred fifteen million, two hundred four thousand, seven hundred sixty-one".