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205014017 = 13531491997
BaseRepresentation
bin11000011100001…
…00010000000001
3112021202210100202
430032010100001
5404440422032
632202054545
75036406335
oct1416042001
9467683322
10205014017
11a57a807a
12587aa455
1333621590
141d3297c5
1512ee9d62
hexc384401

205014017 has 16 divisors (see below), whose sum is σ = 226573200. Its totient is φ = 184334592.

The previous prime is 205014011. The next prime is 205014031. The reversal of 205014017 is 710410502.

It can be written as a sum of positive squares in 8 ways, for example, as 67749361 + 137264656 = 8231^2 + 11716^2 .

It is not a de Polignac number, because 205014017 - 24 = 205014001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205014017.

It is not an unprimeable number, because it can be changed into a prime (205014011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101663 + ... + 103659.

It is an arithmetic number, because the mean of its divisors is an integer number (14160825).

Almost surely, 2205014017 is an apocalyptic number.

It is an amenable number.

205014017 is a deficient number, since it is larger than the sum of its proper divisors (21559183).

205014017 is a wasteful number, since it uses less digits than its factorization.

205014017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 205014017 is about 14318.3105497821. The cubic root of 205014017 is about 589.6502926172.

Adding to 205014017 its reverse (710410502), we get a palindrome (915424519).

The spelling of 205014017 in words is "two hundred five million, fourteen thousand, seventeen".

Divisors: 1 13 53 149 689 1937 1997 7897 25961 102661 105841 297553 1375933 3868189 15770309 205014017