Search a number
-
+
221636585636149 is a prime number
BaseRepresentation
bin110010011001001111001001…
…111101001100000100110101
31002001202020202201200221000111
4302121033021331030010311
5213022243211410324044
62103214235233343021
764453500130613635
oct6231171175140465
91061666681627014
10221636585636149
11646906035a0802
1220a367a4107a71
139689318066458
143ca33a74b06c5
151a9542239cb34
hexc993c9f4c135

221636585636149 has 2 divisors, whose sum is σ = 221636585636150. Its totient is φ = 221636585636148.

The previous prime is 221636585636131. The next prime is 221636585636159. The reversal of 221636585636149 is 941636585636122.

It is a happy number.

221636585636149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188611082280625 + 33025503355524 = 13733575^2 + 5746782^2 .

It is a cyclic number.

It is not a de Polignac number, because 221636585636149 - 243 = 212840492613941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221636585636159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110818292818074 + 110818292818075.

It is an arithmetic number, because the mean of its divisors is an integer number (110818292818075).

Almost surely, 2221636585636149 is an apocalyptic number.

It is an amenable number.

221636585636149 is a deficient number, since it is larger than the sum of its proper divisors (1).

221636585636149 is an equidigital number, since it uses as much as digits as its factorization.

221636585636149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 335923200, while the sum is 67.

The spelling of 221636585636149 in words is "two hundred twenty-one trillion, six hundred thirty-six billion, five hundred eighty-five million, six hundred thirty-six thousand, one hundred forty-nine".