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2002209985 = 51934494621
BaseRepresentation
bin111011101010111…
…0100110011000001
312011112111210202101
41313111310303001
513100031204420
6530402150401
7100421334616
oct16725646301
95145453671
102002209985
11938216aa6
1247a652401
1325ba6c249
1414dcb250d
15bab9c60a
hex77574cc1

2002209985 has 16 divisors (see below), whose sum is σ = 2421003600. Its totient is φ = 1589575680.

The previous prime is 2002209973. The next prime is 2002209997. The reversal of 2002209985 is 5899022002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002209973) and next prime (2002209997).

It can be written as a sum of positive squares in 8 ways, for example, as 90859024 + 1911350961 = 9532^2 + 43719^2 .

It is not a de Polignac number, because 2002209985 - 25 = 2002209953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430975 + ... + 435595.

It is an arithmetic number, because the mean of its divisors is an integer number (151312725).

Almost surely, 22002209985 is an apocalyptic number.

It is an amenable number.

2002209985 is a deficient number, since it is larger than the sum of its proper divisors (418793615).

2002209985 is a wasteful number, since it uses less digits than its factorization.

2002209985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 2002209985 is about 44746.0611115660. The cubic root of 2002209985 is about 1260.3849468395.

The spelling of 2002209985 in words is "two billion, two million, two hundred nine thousand, nine hundred eighty-five".

Divisors: 1 5 193 449 965 2245 4621 23105 86657 433285 891853 2074829 4459265 10374145 400441997 2002209985