Search a number
-
+
205022112 = 2532973643
BaseRepresentation
bin11000011100001…
…10001110100000
3112021210012110120
430032012032200
5404441201422
632202200240
75036442051
oct1416061640
9467705416
10205022112
11a5803169
12587b3080
1333625179
141d32c728
1512eec45c
hexc3863a0

205022112 has 48 divisors (see below), whose sum is σ = 556748640. Its totient is φ = 65983232.

The previous prime is 205022053. The next prime is 205022119. The reversal of 205022112 is 211220502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 205022091 and 205022100.

It is not an unprimeable number, because it can be changed into a prime (205022119) 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 7 ways as a sum of consecutive naturals, for example, 34038 + ... + 39605.

It is an arithmetic number, because the mean of its divisors is an integer number (11598930).

Almost surely, 2205022112 is an apocalyptic number.

It is an amenable number.

205022112 is an abundant number, since it is smaller than the sum of its proper divisors (351726528).

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

205022112 is a wasteful number, since it uses less digits than its factorization.

205022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73685 (or 73677 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 205022112 is about 14318.5932269899. The cubic root of 205022112 is about 589.6580533163.

Adding to 205022112 its reverse (211220502), we get a palindrome (416242614).

The spelling of 205022112 in words is "two hundred five million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 73643 147286 220929 294572 441858 589144 883716 1178288 1767432 2135647 2356576 3534864 4271294 6406941 7069728 8542588 12813882 17085176 25627764 34170352 51255528 68340704 102511056 205022112