Search a number
-
+
205335431 = 7213613079
BaseRepresentation
bin11000011110100…
…10101110000111
3112022101010020222
430033102232013
5410031213211
632213014555
75042215400
oct1417225607
9468333228
10205335431
11a59a7604
125892445b
1333704972
141d3b09a7
15130601db
hexc3d2b87

205335431 has 12 divisors (see below), whose sum is σ = 239112720. Its totient is φ = 175815360.

The previous prime is 205335397. The next prime is 205335437. The reversal of 205335431 is 134533502.

It is not a de Polignac number, because 205335431 - 226 = 138226567 is a prime.

It is a super-2 number, since 2×2053354312 = 84325278447911522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205335431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205335437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65150 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (19926060).

Almost surely, 2205335431 is an apocalyptic number.

205335431 is a deficient number, since it is larger than the sum of its proper divisors (33777289).

205335431 is a wasteful number, since it uses less digits than its factorization.

205335431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 205335431 is about 14329.5300341637. The cubic root of 205335431 is about 589.9582762796.

Adding to 205335431 its reverse (134533502), we get a palindrome (339868933).

The spelling of 205335431 in words is "two hundred five million, three hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 7 49 1361 3079 9527 21553 66689 150871 4190519 29333633 205335431