Search a number
-
+
204122340 = 223253730649
BaseRepresentation
bin11000010101010…
…10100011100100
3112020002111012200
430022222203210
5404223403330
632131014500
75026003602
oct1412524344
9466074180
10204122340
11a5249154
125843a430
133339b766
141d176872
1512dc0a60
hexc2aa8e4

204122340 has 72 divisors (see below), whose sum is σ = 635926200. Its totient is φ = 52959744.

The previous prime is 204122299. The next prime is 204122341. The reversal of 204122340 is 43221402.

204122340 is a `hidden beast` number, since 20 + 412 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 193933476 = 3192^2 + 13926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204122341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8665 + ... + 21984.

Almost surely, 2204122340 is an apocalyptic number.

204122340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204122340 is an abundant number, since it is smaller than the sum of its proper divisors (431803860).

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

204122340 is a wasteful number, since it uses less digits than its factorization.

204122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30701 (or 30696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204122340 is about 14287.1389718166. The cubic root of 204122340 is about 588.7941857651.

Adding to 204122340 its reverse (43221402), we get a palindrome (247343742).

The spelling of 204122340 in words is "two hundred four million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30649 61298 91947 122596 153245 183894 275841 306490 367788 459735 551682 612980 919470 1103364 1134013 1379205 1838940 2268026 2758410 3402039 4536052 5516820 5670065 6804078 10206117 11340130 13608156 17010195 20412234 22680260 34020390 40824468 51030585 68040780 102061170 204122340