Base | Representation |
---|---|
bin | 1000001100100011… |
… | …0111100100000000 |
3 | 12200022221200201212 |
4 | 2003020313210000 |
5 | 14001213440112 |
6 | 1002152345252 |
7 | 105343611266 |
oct | 20310674400 |
9 | 5608850655 |
10 | 2200140032 |
11 | a29a15852 |
12 | 5149a5228 |
13 | 290a8030c |
14 | 16c2b6436 |
15 | cd248522 |
hex | 83237900 |
2200140032 has 72 divisors (see below), whose sum is σ = 4547282712. Its totient is φ = 1061683200.
The previous prime is 2200140023. The next prime is 2200140079. The reversal of 2200140032 is 2300410022.
It can be written as a sum of positive squares in 4 ways, for example, as 48664576 + 2151475456 = 6976^2 + 46384^2 .
It is a super-2 number, since 2×22001400322 = 9681232320817922048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2200139989 and 2200140016.
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 7 ways as a sum of consecutive naturals, for example, 1017032 + ... + 1019192.
Almost surely, 22200140032 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 2200140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273641356).
2200140032 is an abundant number, since it is smaller than the sum of its proper divisors (2347142680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200140032 is an equidigital number, since it uses as much as digits as its factorization.
2200140032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 2200140032 is about 46905.6503206170. The cubic root of 2200140032 is about 1300.6190408752.
Adding to 2200140032 its reverse (2300410022), we get a palindrome (4500550054).
The spelling of 2200140032 in words is "two billion, two hundred million, one hundred forty thousand, thirty-two".
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