Search a number
-
+
229334507797601 is a prime number
BaseRepresentation
bin110100001001010000011001…
…110111110011110001100001
31010002000011110011100011111102
4310021100121313303301201
5220024404032444010401
62131430452441124145
766206604615434303
oct6411203167636141
91102004404304442
10229334507797601
1167089244a058a8
122187a692789655
139ac71c750003b
14408bbc6a8d973
151b7a7b451856b
hexd09419df3c61

229334507797601 has 2 divisors, whose sum is σ = 229334507797602. Its totient is φ = 229334507797600.

The previous prime is 229334507797559. The next prime is 229334507797607. The reversal of 229334507797601 is 106797705433922.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227496165016576 + 1838342781025 = 15082976^2 + 1355855^2 .

It is a cyclic number.

It is not a de Polignac number, because 229334507797601 - 210 = 229334507796577 is a prime.

It is not a weakly prime, because it can be changed into another prime (229334507797607) 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, 114667253898800 + 114667253898801.

It is an arithmetic number, because the mean of its divisors is an integer number (114667253898801).

Almost surely, 2229334507797601 is an apocalyptic number.

It is an amenable number.

229334507797601 is a deficient number, since it is larger than the sum of its proper divisors (1).

229334507797601 is an equidigital number, since it uses as much as digits as its factorization.

229334507797601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120022560, while the sum is 65.

The spelling of 229334507797601 in words is "two hundred twenty-nine trillion, three hundred thirty-four billion, five hundred seven million, seven hundred ninety-seven thousand, six hundred one".