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2002189 = 72291409
BaseRepresentation
bin111101000110100001101
310202201111011
413220310031
51003032224
6110525221
723006200
oct7506415
93681434
102002189
111148302
12806811
13551437
143a1937
15298394
hex1e8d0d

2002189 has 12 divisors (see below), whose sum is σ = 2411100. Its totient is φ = 1655808.

The previous prime is 2002159. The next prime is 2002199. The reversal of 2002189 is 9812002.

2002189 = T86 + T87 + ... + T232.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 1605289 = 630^2 + 1267^2 .

It is not a de Polignac number, because 2002189 - 25 = 2002157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002159) 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, 717 + ... + 2125.

It is an arithmetic number, because the mean of its divisors is an integer number (200925).

22002189 is an apocalyptic number.

2002189 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2002189 is a deficient number, since it is larger than the sum of its proper divisors (408911).

2002189 is a wasteful number, since it uses less digits than its factorization.

2002189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2002189 is about 1414.9872790948. The cubic root of 2002189 is about 126.0380543493.

The spelling of 2002189 in words is "two million, two thousand, one hundred eighty-nine".

Divisors: 1 7 29 49 203 1409 1421 9863 40861 69041 286027 2002189