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232002017 = 13211171229
BaseRepresentation
bin11011101010000…
…01000111100001
3121011112220221022
431311001013201
5433343031032
635004335225
75514661502
oct1565010741
9534486838
10232002017
11109a60605
1265844515
13390b0600
1422b52ba9
151557b512
hexdd411e1

232002017 has 12 divisors (see below), whose sum is σ = 251650620. Its totient is φ = 213789888.

The previous prime is 232002013. The next prime is 232002037. The reversal of 232002017 is 710200232.

It can be written as a sum of positive squares in 6 ways, for example, as 26050816 + 205951201 = 5104^2 + 14351^2 .

It is not a de Polignac number, because 232002017 - 22 = 232002013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232001986 and 232002004.

It is not an unprimeable number, because it can be changed into a prime (232002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188159 + ... + 189387.

It is an arithmetic number, because the mean of its divisors is an integer number (20970885).

Almost surely, 2232002017 is an apocalyptic number.

It is an amenable number.

232002017 is a deficient number, since it is larger than the sum of its proper divisors (19648603).

232002017 is a wasteful number, since it uses less digits than its factorization.

232002017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 232002017 is about 15231.6124228527. The cubic root of 232002017 is about 614.4651458398.

Adding to 232002017 its reverse (710200232), we get a palindrome (942202249).

The spelling of 232002017 in words is "two hundred thirty-two million, two thousand, seventeen".

Divisors: 1 13 169 1117 1229 14521 15977 188773 207701 1372793 17846309 232002017