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2005312332 = 223167109361
BaseRepresentation
bin111011110000110…
…1010001101001100
312011202100102101010
41313201222031030
513101324443312
6530552445220
7100456605432
oct16741521514
95152312333
102005312332
11939a45921
1247b6a9810
1325c5b735a
1415047cd52
15bb0b193c
hex7786a34c

2005312332 has 12 divisors (see below), whose sum is σ = 4679062136. Its totient is φ = 668437440.

The previous prime is 2005312327. The next prime is 2005312343. The reversal of 2005312332 is 2332135002.

2005312332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 2005312299 and 2005312308.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83554669 + ... + 83554692.

Almost surely, 22005312332 is an apocalyptic number.

It is an amenable number.

2005312332 is an abundant number, since it is smaller than the sum of its proper divisors (2673749804).

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

2005312332 is a wasteful number, since it uses less digits than its factorization.

2005312332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167109368 (or 167109366 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2005312332 is about 44780.7138397771. The cubic root of 2005312332 is about 1261.0355834996.

Adding to 2005312332 its reverse (2332135002), we get a palindrome (4337447334).

It can be divided in two parts, 20053 and 12332, that added together give a triangular number (32385 = T254).

The spelling of 2005312332 in words is "two billion, five million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 167109361 334218722 501328083 668437444 1002656166 2005312332