Base | Representation |
---|---|
bin | 100000000000111010010… |
… | …001110011001001010110 |
3 | 21210022120212000100020100 |
4 | 200000322101303021112 |
5 | 242021100224000042 |
6 | 4402355544314530 |
7 | 314642034645420 |
oct | 40007221631126 |
9 | 7708525010210 |
10 | 2200001000022 |
11 | 779019235351 |
12 | 2b645ba72a46 |
13 | 12c5c7b43777 |
14 | 786a2b51810 |
15 | 3c36159d24c |
hex | 2003a473256 |
2200001000022 has 96 divisors (see below), whose sum is σ = 5587556832000. Its totient is φ = 612494809920.
The previous prime is 2200000999997. The next prime is 2200001000053.
2200001000022 is nontrivially palindromic in base 10.
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 = 2200000999968 and 2200001000013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798729 + ... + 2763227.
It is an arithmetic number, because the mean of its divisors is an integer number (58203717000).
Almost surely, 22200001000022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2200001000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793778416000).
2200001000022 is an abundant number, since it is smaller than the sum of its proper divisors (3387555831978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200001000022 is a wasteful number, since it uses less digits than its factorization.
2200001000022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 964978 (or 964975 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The spelling of 2200001000022 in words is "two trillion, two hundred billion, one million, twenty-two", and thus it is an aban number.
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