Search a number
-
+
164662208237 is a prime number
BaseRepresentation
bin1001100101011010100…
…0011110011011101101
3120202000120222212101002
42121112220132123231
510144212011130422
6203351134330045
714616324451022
oct2312650363355
9522016885332
10164662208237
116391858421a
1227ab5059925
13126b2128017
147d80ba5549
15443ae1c692
hex2656a1e6ed

164662208237 has 2 divisors, whose sum is σ = 164662208238. Its totient is φ = 164662208236.

The previous prime is 164662208213. The next prime is 164662208239. The reversal of 164662208237 is 732802266461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125510067076 + 39152141161 = 354274^2 + 197869^2 .

It is a cyclic number.

It is not a de Polignac number, because 164662208237 - 214 = 164662191853 is a prime.

It is a super-2 number, since 2×1646622082372 (a number of 23 digits) contains 22 as substring.

Together with 164662208239, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164662208191 and 164662208200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164662208239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82331104118 + 82331104119.

It is an arithmetic number, because the mean of its divisors is an integer number (82331104119).

Almost surely, 2164662208237 is an apocalyptic number.

It is an amenable number.

164662208237 is a deficient number, since it is larger than the sum of its proper divisors (1).

164662208237 is an equidigital number, since it uses as much as digits as its factorization.

164662208237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 164662208237 in words is "one hundred sixty-four billion, six hundred sixty-two million, two hundred eight thousand, two hundred thirty-seven".