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2185339 = 13267193
BaseRepresentation
bin1000010101100001111011
311010000201111
420111201323
51024412324
6114501151
724401152
oct10254173
94100644
102185339
111262972
128947b7
135b6900
1440c599
152d2794
hex21587b

2185339 has 12 divisors (see below), whose sum is σ = 2414136. Its totient is φ = 1976832.

The previous prime is 2185297. The next prime is 2185343. The reversal of 2185339 is 9335812.

It is a happy number.

2185339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2185339 - 29 = 2184827 is a prime.

It is a super-3 number, since 3×21853393 = 31309613295513339657, which contains 333 as substring.

It is a d-powerful number, because it can be written as 29 + 1 + 8 + 5 + 312 + 313 + 95 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2185339.

It is not an unprimeable number, because it can be changed into a prime (2185369) 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 in 11 ways as a sum of consecutive naturals, for example, 11227 + ... + 11419.

It is an arithmetic number, because the mean of its divisors is an integer number (201178).

22185339 is an apocalyptic number.

2185339 is a deficient number, since it is larger than the sum of its proper divisors (228797).

2185339 is a wasteful number, since it uses less digits than its factorization.

2185339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 2185339 is about 1478.2892139226. The cubic root of 2185339 is about 129.7695918728.

The spelling of 2185339 in words is "two million, one hundred eighty-five thousand, three hundred thirty-nine".

Divisors: 1 13 67 169 193 871 2509 11323 12931 32617 168103 2185339