Search a number
-
+
226705051217 is a prime number
BaseRepresentation
bin1101001100100010101…
…1001000111001010001
3210200011110112211212102
43103020223020321101
512203242443114332
6252051420010145
722243651066121
oct3231053107121
9720143484772
10226705051217
1188166100467
1237b2b090955
13184bbb80128
14ad88aa6c81
155d6cb97062
hex34c8ac8e51

226705051217 has 2 divisors, whose sum is σ = 226705051218. Its totient is φ = 226705051216.

The previous prime is 226705051187. The next prime is 226705051229. The reversal of 226705051217 is 712150507622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143668289296 + 83036761921 = 379036^2 + 288161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226705051217 is a prime.

It is a super-3 number, since 3×2267050512173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (226705051297) 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, 113352525608 + 113352525609.

It is an arithmetic number, because the mean of its divisors is an integer number (113352525609).

Almost surely, 2226705051217 is an apocalyptic number.

It is an amenable number.

226705051217 is a deficient number, since it is larger than the sum of its proper divisors (1).

226705051217 is an equidigital number, since it uses as much as digits as its factorization.

226705051217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 38.

Adding to 226705051217 its reverse (712150507622), we get a palindrome (938855558839).

The spelling of 226705051217 in words is "two hundred twenty-six billion, seven hundred five million, fifty-one thousand, two hundred seventeen".