Search a number
-
+
205424136 = 23322853113
BaseRepresentation
bin11000011111010…
…00011000001000
3112022112121221100
430033220120020
5410042033021
632214541400
75043035121
oct1417503010
9468477840
10205424136
11a5a58215
1258967860
1333736158
141d3d5048
151307b626
hexc3e8608

205424136 has 24 divisors (see below), whose sum is σ = 556357230. Its totient is φ = 68474688.

The previous prime is 205424083. The next prime is 205424137. The reversal of 205424136 is 631424502.

205424136 is a `hidden beast` number, since 205 + 42 + 413 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149084100 + 56340036 = 12210^2 + 7506^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (205424137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1426485 + ... + 1426628.

Almost surely, 2205424136 is an apocalyptic number.

It is an amenable number.

205424136 is an abundant number, since it is smaller than the sum of its proper divisors (350933094).

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

205424136 is a wasteful number, since it uses less digits than its factorization.

205424136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853125 (or 2853118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205424136 is about 14332.6248817165. The cubic root of 205424136 is about 590.0432181307.

Adding to 205424136 its reverse (631424502), we get a palindrome (836848638).

The spelling of 205424136 in words is "two hundred five million, four hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2853113 5706226 8559339 11412452 17118678 22824904 25678017 34237356 51356034 68474712 102712068 205424136