Search a number
-
+
2230814617 is a prime number
BaseRepresentation
bin1000010011110111…
…1000011110011001
312202110200010100121
42010331320132121
514032042031432
61005210033241
7106165416463
oct20475703631
95673603317
102230814617
11a45267049
12523118821
13297230365
141723bd133
15d0ca7197
hex84f78799

2230814617 has 2 divisors, whose sum is σ = 2230814618. Its totient is φ = 2230814616.

The previous prime is 2230814609. The next prime is 2230814623. The reversal of 2230814617 is 7164180322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2170534921 + 60279696 = 46589^2 + 7764^2 .

It is a cyclic number.

It is not a de Polignac number, because 2230814617 - 23 = 2230814609 is a prime.

It is a super-3 number, since 3×22308146173 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2230814317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115407308 + 1115407309.

It is an arithmetic number, because the mean of its divisors is an integer number (1115407309).

Almost surely, 22230814617 is an apocalyptic number.

It is an amenable number.

2230814617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2230814617 is an equidigital number, since it uses as much as digits as its factorization.

2230814617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2230814617 is about 47231.5002620073. The cubic root of 2230814617 is about 1306.6356217099.

Adding to 2230814617 its reverse (7164180322), we get a palindrome (9394994939).

The spelling of 2230814617 in words is "two billion, two hundred thirty million, eight hundred fourteen thousand, six hundred seventeen".