Search a number
-
+
205110032 = 2417754081
BaseRepresentation
bin11000011100110…
…11101100010000
3112021221200001212
430032123230100
5410002010112
632204115252
75040256301
oct1416335420
9467850055
10205110032
11a5863226
1258835b28
13336561aa
141d3527a8
1513018522
hexc39bb10

205110032 has 20 divisors (see below), whose sum is σ = 420777756. Its totient is φ = 96522240.

The previous prime is 205109969. The next prime is 205110041. The reversal of 205110032 is 230011502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 127599616 = 8804^2 + 11296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205109989 and 205110016.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 376769 + ... + 377312.

Almost surely, 2205110032 is an apocalyptic number.

It is an amenable number.

205110032 is an abundant number, since it is smaller than the sum of its proper divisors (215667724).

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

205110032 is a wasteful number, since it uses less digits than its factorization.

205110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754106 (or 754100 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 205110032 is about 14321.6630319247. The cubic root of 205110032 is about 589.7423293109.

Adding to 205110032 its reverse (230011502), we get a palindrome (435121534).

The spelling of 205110032 in words is "two hundred five million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 754081 1508162 3016324 6032648 12065296 12819377 25638754 51277508 102555016 205110032