Search a number
-
+
2317448801 is a prime number
BaseRepresentation
bin1000101000100001…
…0111011001100001
312222111200121010002
42022020113121201
514221231330201
61021542545345
7111266663333
oct21210273141
95874617102
102317448801
11a8a159648
12548138255
132ac1742a5
1417dad1453
15d86bb76b
hex8a217661

2317448801 has 2 divisors, whose sum is σ = 2317448802. Its totient is φ = 2317448800.

The previous prime is 2317448779. The next prime is 2317448827. The reversal of 2317448801 is 1088447132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1442176576 + 875272225 = 37976^2 + 29585^2 .

It is a cyclic number.

It is not a de Polignac number, because 2317448801 - 214 = 2317432417 is a prime.

It is not a weakly prime, because it can be changed into another prime (2317448831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1158724400 + 1158724401.

It is an arithmetic number, because the mean of its divisors is an integer number (1158724401).

Almost surely, 22317448801 is an apocalyptic number.

It is an amenable number.

2317448801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2317448801 is an equidigital number, since it uses as much as digits as its factorization.

2317448801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2317448801 is about 48139.8878374265. The cubic root of 2317448801 is about 1323.3357628785.

The spelling of 2317448801 in words is "two billion, three hundred seventeen million, four hundred forty-eight thousand, eight hundred one".