Base | Representation |
---|---|
bin | 10111110101111… |
… | …01010110001000 |
3 | 111221100022021121 |
4 | 23322331112020 |
5 | 402200130000 |
6 | 31502445024 |
7 | 4646004646 |
oct | 1372752610 |
9 | 457308247 |
10 | 200005000 |
11 | a2996798 |
12 | 56b93774 |
13 | 32589670 |
14 | 1c7c4196 |
15 | 1285ab1a |
hex | bebd588 |
200005000 has 160 divisors (see below), whose sum is σ = 537296760. Its totient is φ = 69120000.
The previous prime is 200004971. The next prime is 200005007. The reversal of 200005000 is 500002.
It can be written as a sum of positive squares in 20 ways, for example, as 152917956 + 47087044 = 12366^2 + 6862^2 .
It is a sliding number, since 200005000 = 5000 + 200000000 and 1/5000 + 1/200000000 = 0.000200005000.
It is not an unprimeable number, because it can be changed into a prime (200005007) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1104910 + ... + 1105090.
Almost surely, 2200005000 is an apocalyptic number.
200005000 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 200005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268648380).
200005000 is an abundant number, since it is smaller than the sum of its proper divisors (337291760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200005000 is a wasteful number, since it uses less digits than its factorization.
200005000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 237 (or 218 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 7.
The square root of 200005000 is about 14142.3123993214. The cubic root of 200005000 is about 584.8084209649.
Adding to 200005000 its reverse (500002), we get a palindrome (200505002).
It can be divided in two parts, 20000 and 5000, that multiplied together give a 8-th power (100000000 = 108).
The spelling of 200005000 in words is "two hundred million, five thousand".
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