Search a number
-
+
2182185829 is a prime number
BaseRepresentation
bin1000001000010001…
…1000001101100101
312122002011112012101
42002010120031211
513432114421304
61000311452101
7105035162545
oct20204301545
95562145171
102182185829
11a1a87256a
1250a987031
1328a135125
14169b61325
15cb89d8a4
hex82118365

2182185829 has 2 divisors, whose sum is σ = 2182185830. Its totient is φ = 2182185828.

The previous prime is 2182185767. The next prime is 2182185847. The reversal of 2182185829 is 9285812812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1705855204 + 476330625 = 41302^2 + 21825^2 .

It is a cyclic number.

It is not a de Polignac number, because 2182185829 - 211 = 2182183781 is a prime.

It is a super-3 number, since 3×21821858293 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2182185899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1091092914 + 1091092915.

It is an arithmetic number, because the mean of its divisors is an integer number (1091092915).

Almost surely, 22182185829 is an apocalyptic number.

It is an amenable number.

2182185829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2182185829 is an equidigital number, since it uses as much as digits as its factorization.

2182185829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 184320, while the sum is 46.

The square root of 2182185829 is about 46713.8719118850. The cubic root of 2182185829 is about 1297.0714806382.

The spelling of 2182185829 in words is "two billion, one hundred eighty-two million, one hundred eighty-five thousand, eight hundred twenty-nine".