Base | Representation |
---|---|
bin | 1010000000010100010010… |
… | …00011111011110101011100 |
3 | 2212220021202000112212120112 |
4 | 11000022021003323311130 |
5 | 10340431244213001340 |
6 | 114443101555305152 |
7 | 4430346212252426 |
oct | 500121103736534 |
9 | 85807660485515 |
10 | 22001122000220 |
11 | 701269488a230 |
12 | 2573b6b2ab1b8 |
13 | c3790a12c75c |
14 | 560c07b35816 |
15 | 2824765e3065 |
hex | 1402890fbd5c |
22001122000220 has 96 divisors (see below), whose sum is σ = 51235752960000. Its totient is φ = 7869098124800.
The previous prime is 22001122000159. The next prime is 22001122000229. The reversal of 22001122000220 is 2200022110022.
It is a junction number, because it is equal to n+sod(n) for n = 22001122000195 and 22001122000204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22001122000229) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798281 + ... + 6681279.
It is an arithmetic number, because the mean of its divisors is an integer number (533705760000).
Almost surely, 222001122000220 is an apocalyptic number.
22001122000220 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 22001122000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25617876480000).
22001122000220 is an abundant number, since it is smaller than the sum of its proper divisors (29234630959780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001122000220 is a wasteful number, since it uses less digits than its factorization.
22001122000220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5883299 (or 5883297 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 22001122000220 its reverse (2200022110022), we get a palindrome (24201144110242).
The spelling of 22001122000220 in words is "twenty-two trillion, one billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.
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