| Base | Representation |
|---|---|
| bin | 11000011100001… |
| … | …11101111100000 |
| 3 | 112021210111222111 |
| 4 | 30032013233200 |
| 5 | 404441401240 |
| 6 | 32202245104 |
| 7 | 5036466130 |
| oct | 1416075740 |
| 9 | 467714874 |
| 10 | 205028320 |
| 11 | a58078a2 |
| 12 | 587b6794 |
| 13 | 33627c43 |
| 14 | 1d330ac0 |
| 15 | 12eee1ea |
| hex | c387be0 |
205028320 has 96 divisors (see below), whose sum is σ = 562838976. Its totient is φ = 69120000.
The previous prime is 205028281. The next prime is 205028323. The reversal of 205028320 is 23820502.
205028320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2050283202 = 84073224004044800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 205028291 and 205028300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (205028323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66820 + ... + 69820.
It is an arithmetic number, because the mean of its divisors is an integer number (5862906).
Almost surely, 2205028320 is an apocalyptic number.
205028320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 205028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281419488).
205028320 is an abundant number, since it is smaller than the sum of its proper divisors (357810656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205028320 is a wasteful number, since it uses less digits than its factorization.
205028320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3084 (or 3076 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
The square root of 205028320 is about 14318.8100064216. The cubic root of 205028320 is about 589.6640048049.
Adding to 205028320 its reverse (23820502), we get a palindrome (228848822).
The spelling of 205028320 in words is "two hundred five million, twenty-eight thousand, three hundred twenty".
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