Search a number
-
+
233797813 is a prime number
BaseRepresentation
bin11011110111101…
…11100010110101
3121021221011022021
431323313202311
5434323012223
635111033141
75536151164
oct1573674265
9537834267
10233797813
1110aa77837
126636b7b1
133958bb02
142309d3db
15157d365d
hexdef78b5

233797813 has 2 divisors, whose sum is σ = 233797814. Its totient is φ = 233797812.

The previous prime is 233797801. The next prime is 233797819. The reversal of 233797813 is 318797332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203404644 + 30393169 = 14262^2 + 5513^2 .

It is a cyclic number.

It is not a de Polignac number, because 233797813 - 29 = 233797301 is a prime.

It is a super-2 number, since 2×2337978132 = 109322834727165938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233797813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233797819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116898906 + 116898907.

It is an arithmetic number, because the mean of its divisors is an integer number (116898907).

Almost surely, 2233797813 is an apocalyptic number.

It is an amenable number.

233797813 is a deficient number, since it is larger than the sum of its proper divisors (1).

233797813 is an equidigital number, since it uses as much as digits as its factorization.

233797813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 190512, while the sum is 43.

The square root of 233797813 is about 15290.4484237710. The cubic root of 233797813 is about 616.0464814605.

The spelling of 233797813 in words is "two hundred thirty-three million, seven hundred ninety-seven thousand, eight hundred thirteen".