Search a number
-
+
292006226329 is a prime number
BaseRepresentation
bin1000011111111001110…
…11010110100110011001
31000220201102020020202121
410033330323112212121
514241012043220304
6342051254501241
730045120653626
oct4177473264631
91026642206677
10292006226329
111029259a1884
1248714364821
13216c798880c
14101c161934d
1578e09e3554
hex43fced6999

292006226329 has 2 divisors, whose sum is σ = 292006226330. Its totient is φ = 292006226328.

The previous prime is 292006226287. The next prime is 292006226341. The reversal of 292006226329 is 923622600292.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252056210704 + 39950015625 = 502052^2 + 199875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-292006226329 is a prime.

It is not a weakly prime, because it can be changed into another prime (292006226929) 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, 146003113164 + 146003113165.

It is an arithmetic number, because the mean of its divisors is an integer number (146003113165).

Almost surely, 2292006226329 is an apocalyptic number.

It is an amenable number.

292006226329 is a deficient number, since it is larger than the sum of its proper divisors (1).

292006226329 is an equidigital number, since it uses as much as digits as its factorization.

292006226329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 292006226329 in words is "two hundred ninety-two billion, six million, two hundred twenty-six thousand, three hundred twenty-nine".