Search a number
-
+
204091236 = 2232192312973
BaseRepresentation
bin11000010101000…
…10111101100100
3112020000220112200
430022202331210
5404221404421
632130214500
75025514116
oct1412427544
9466026480
10204091236
11a5227848
1258424430
133338a55b
141d1693b6
1512db6726
hexc2a2f64

204091236 has 72 divisors (see below), whose sum is σ = 566704320. Its totient is φ = 61642944.

The previous prime is 204091231. The next prime is 204091253. The reversal of 204091236 is 632190402.

204091236 is a `hidden beast` number, since 20 + 409 + 1 + 236 = 666.

It is a super-2 number, since 2×2040912362 = 83306465224015392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204091231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9246 + ... + 22218.

Almost surely, 2204091236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204091236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283352160).

204091236 is an abundant number, since it is smaller than the sum of its proper divisors (362613084).

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

204091236 is a wasteful number, since it uses less digits than its factorization.

204091236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13025 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 204091236 is about 14286.0503989031. The cubic root of 204091236 is about 588.7642775825.

The spelling of 204091236 in words is "two hundred four million, ninety-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 12973 15732 25946 38919 51892 77838 116757 155676 233514 246487 298379 467028 492974 596758 739461 895137 985948 1193516 1478922 1790274 2218383 2685411 2957844 3580548 4436766 5370822 5669201 8873532 10741644 11338402 17007603 22676804 34015206 51022809 68030412 102045618 204091236