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204819012 = 2232192511193
BaseRepresentation
bin11000011010101…
…00101001000100
3112021101212212100
430031110221010
5404413202022
632153552100
75034634656
oct1415245104
9467355770
10204819012
11a5684612
1258715630
13335838a8
141d2b86d6
1512eac1ac
hexc354a44

204819012 has 72 divisors (see below), whose sum is σ = 547616160. Its totient is φ = 64368000.

The previous prime is 204818981. The next prime is 204819037. The reversal of 204819012 is 210918402.

It is a super-2 number, since 2×2048190122 = 83901655353312288, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 171088 + ... + 172280.

It is an arithmetic number, because the mean of its divisors is an integer number (7605780).

Almost surely, 2204819012 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 204819012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273808080).

204819012 is an abundant number, since it is smaller than the sum of its proper divisors (342797148).

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

204819012 is a wasteful number, since it uses less digits than its factorization.

204819012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 204819012 is about 14311.4992925270. The cubic root of 204819012 is about 589.4632790115.

The spelling of 204819012 in words is "two hundred four million, eight hundred nineteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 251 342 502 684 753 1004 1193 1506 2259 2386 3012 3579 4518 4769 4772 7158 9036 9538 10737 14307 14316 19076 21474 22667 28614 42921 42948 45334 57228 68001 85842 90668 136002 171684 204003 272004 299443 408006 598886 816012 898329 1197772 1796658 2694987 3593316 5389974 5689417 10779948 11378834 17068251 22757668 34136502 51204753 68273004 102409506 204819012