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2182005 = 33572309
BaseRepresentation
bin1000010100101101110101
311002212011000
420110231311
51024311010
6114433513
724355350
oct10245565
94085130
102182005
111260411
12892899
135b5237
1440b297
152d17c0
hex214b75

2182005 has 32 divisors (see below), whose sum is σ = 4435200. Its totient is φ = 997056.

The previous prime is 2181973. The next prime is 2182007. The reversal of 2182005 is 5002812.

2182005 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 2182005 - 25 = 2181973 is a prime.

It is a super-2 number, since 2×21820052 = 9522291640050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182007) 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 31 ways as a sum of consecutive naturals, for example, 210 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

22182005 is an apocalyptic number.

It is an amenable number.

2182005 is an abundant number, since it is smaller than the sum of its proper divisors (2253195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2182005 is a wasteful number, since it uses less digits than its factorization.

2182005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2182005 is about 1477.1611286518. The cubic root of 2182005 is about 129.7035651942.

Adding to 2182005 its reverse (5002812), we get a palindrome (7184817).

The spelling of 2182005 in words is "two million, one hundred eighty-two thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2309 6927 11545 16163 20781 34635 48489 62343 80815 103905 145467 242445 311715 436401 727335 2182005