Search a number
-
+
229840934417 is a prime number
BaseRepresentation
bin1101011000001110010…
…1100101011000010001
3210222021000021012220122
43112003211211120101
512231203234400132
6253330520520025
722414446464543
oct3260345453021
9728230235818
10229840934417
1189525240976
1238665320015
131889b75cc13
14b1a5361693
155ea312c912
hex3583965611

229840934417 has 2 divisors, whose sum is σ = 229840934418. Its totient is φ = 229840934416.

The previous prime is 229840934381. The next prime is 229840934429. The reversal of 229840934417 is 714439048922.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185520579841 + 44320354576 = 430721^2 + 210524^2 .

It is a cyclic number.

It is not a de Polignac number, because 229840934417 - 230 = 228767192593 is a prime.

It is not a weakly prime, because it can be changed into another prime (229840934437) 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, 114920467208 + 114920467209.

It is an arithmetic number, because the mean of its divisors is an integer number (114920467209).

Almost surely, 2229840934417 is an apocalyptic number.

It is an amenable number.

229840934417 is a deficient number, since it is larger than the sum of its proper divisors (1).

229840934417 is an equidigital number, since it uses as much as digits as its factorization.

229840934417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 229840934417 in words is "two hundred twenty-nine billion, eight hundred forty million, nine hundred thirty-four thousand, four hundred seventeen".