Base | Representation |
---|---|
bin | 1000001001011010… |
… | …1111100011000000 |
3 | 12122102020010000000 |
4 | 2002112233203000 |
5 | 13434333000000 |
6 | 1001003000000 |
7 | 105124123203 |
oct | 20226574300 |
9 | 5572203000 |
10 | 2187000000 |
11 | a22560519 |
12 | 510509000 |
13 | 28b12c453 |
14 | 16a65593a |
15 | cc000000 |
hex | 825af8c0 |
2187000000 has 392 divisors, whose sum is σ = 8135833360. Its totient is φ = 583200000.
The previous prime is 2186999989. The next prime is 2187000001. The reversal of 2187000000 is 7812.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an ABA number since it can be written as A⋅BA, here for A=3, B=900.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 15.
It is a zygodrome in base 15.
It is not an unprimeable number, because it can be changed into a prime (2187000001) 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 55 ways as a sum of consecutive naturals, for example, 437399998 + ... + 437400002.
Almost surely, 22187000000 is an apocalyptic number.
2187000000 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 2187000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067916680).
2187000000 is an abundant number, since it is smaller than the sum of its proper divisors (5948833360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2187000000 is an frugal number, since it uses more digits than its factorization.
2187000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 18.
The square root of 2187000000 is about 46765.3718043597. The cubic root of 2187000000 is about 1298.0246132767.
Adding to 2187000000 its reverse (7812), we get a palindrome (2187007812).
The spelling of 2187000000 in words is "two billion, one hundred eighty-seven million", and thus it is an aban number.
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