Base | Representation |
---|---|
bin | 1000001100110010… |
… | …0100011000000100 |
3 | 12200101202222022100 |
4 | 2003030210120010 |
5 | 14001441010040 |
6 | 1002225232100 |
7 | 105355061244 |
oct | 20314443004 |
9 | 5611688270 |
10 | 2201110020 |
11 | a2a51859a |
12 | 515192630 |
13 | 29102c985 |
14 | 16c489b24 |
15 | cd38ab30 |
hex | 83324604 |
2201110020 has 144 divisors (see below), whose sum is σ = 7260887088. Its totient is φ = 537477120.
The previous prime is 2201109973. The next prime is 2201110027. The reversal of 2201110020 is 200111022.
It can be written as a sum of positive squares in 8 ways, for example, as 57790404 + 2143319616 = 7602^2 + 46296^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2201109984 and 2201110011.
It is not an unprimeable number, because it can be changed into a prime (2201110027) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103500 + ... + 122940.
It is an arithmetic number, because the mean of its divisors is an integer number (50422827).
Almost surely, 22201110020 is an apocalyptic number.
2201110020 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 2201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630443544).
2201110020 is an abundant number, since it is smaller than the sum of its proper divisors (5059777068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201110020 is a wasteful number, since it uses less digits than its factorization.
2201110020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19510 (or 19505 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2201110020 is about 46915.9889589892. The cubic root of 2201110020 is about 1300.8101498484.
Adding to 2201110020 its reverse (200111022), we get a palindrome (2401221042).
The spelling of 2201110020 in words is "two billion, two hundred one million, one hundred ten thousand, twenty".
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