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268822681 is a prime number
BaseRepresentation
bin10000000001011…
…110100010011001
3200201211121101121
4100001132202121
51022304311211
642401445241
76442645411
oct2001364231
9621747347
10268822681
1112881a506
1276040821
1343902c9a
14279b9641
1518901271
hex1005e899

268822681 has 2 divisors, whose sum is σ = 268822682. Its totient is φ = 268822680.

The previous prime is 268822679. The next prime is 268822753. The reversal of 268822681 is 186228862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 40208281 = 15120^2 + 6341^2 .

It is a cyclic number.

It is not a de Polignac number, because 268822681 - 21 = 268822679 is a prime.

It is a super-2 number, since 2×2688226812 = 144531267640055522, which contains 22 as substring.

Together with 268822679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (268822381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134411340 + 134411341.

It is an arithmetic number, because the mean of its divisors is an integer number (134411341).

Almost surely, 2268822681 is an apocalyptic number.

It is an amenable number.

268822681 is a deficient number, since it is larger than the sum of its proper divisors (1).

268822681 is an equidigital number, since it uses as much as digits as its factorization.

268822681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147456, while the sum is 43.

The square root of 268822681 is about 16395.8129106184. The cubic root of 268822681 is about 645.3896097719.

The spelling of 268822681 in words is "two hundred sixty-eight million, eight hundred twenty-two thousand, six hundred eighty-one".