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226057272767 is a prime number
BaseRepresentation
bin1101001010001000010…
…0000011110110111111
3210121111022122021212222
43102202010003312333
512200431130212032
6251503235515555
722221624054164
oct3224204036677
9717438567788
10226057272767
1187963489977
123798a158bbb
13184178c6381
14ad26a4406b
155d30d8ca12
hex34a2103dbf

226057272767 has 2 divisors, whose sum is σ = 226057272768. Its totient is φ = 226057272766.

The previous prime is 226057272751. The next prime is 226057272799. The reversal of 226057272767 is 767272750622.

226057272767 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 is a cyclic number.

It is not a de Polignac number, because 226057272767 - 24 = 226057272751 is a prime.

It is a super-2 number, since 2×2260572727672 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226057277767) 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, 113028636383 + 113028636384.

It is an arithmetic number, because the mean of its divisors is an integer number (113028636384).

Almost surely, 2226057272767 is an apocalyptic number.

226057272767 is a deficient number, since it is larger than the sum of its proper divisors (1).

226057272767 is an equidigital number, since it uses as much as digits as its factorization.

226057272767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6914880, while the sum is 53.

The spelling of 226057272767 in words is "two hundred twenty-six billion, fifty-seven million, two hundred seventy-two thousand, seven hundred sixty-seven".