Base | Representation |
---|---|
bin | 100000010011101001100… |
… | …110001100110100000100 |
3 | 21212020112010122201210000 |
4 | 200103221212030310010 |
5 | 242333302242330040 |
6 | 4415524324201300 |
7 | 316253461405512 |
oct | 40235146146404 |
9 | 7766463581700 |
10 | 2220122230020 |
11 | 786604136252 |
12 | 2ba336539230 |
13 | 131483686116 |
14 | 796511934b2 |
15 | 3cb3ccb4130 |
hex | 204e998cd04 |
2220122230020 has 120 divisors (see below), whose sum is σ = 6975474144408. Its totient is φ = 591108710400.
The previous prime is 2220122229989. The next prime is 2220122230111. The reversal of 2220122230020 is 200322210222.
2220122230020 is a `hidden beast` number, since 2 + 220 + 122 + 2 + 300 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 141905903616 + 2078216326404 = 376704^2 + 1441602^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2220122229975 and 2220122230002.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30571 + ... + 2107410.
Almost surely, 22220122230020 is an apocalyptic number.
2220122230020 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 2220122230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487737072204).
2220122230020 is an abundant number, since it is smaller than the sum of its proper divisors (4755351914388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220122230020 is a wasteful number, since it uses less digits than its factorization.
2220122230020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2138643 (or 2138632 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 2220122230020 its reverse (200322210222), we get a palindrome (2420444440242).
The spelling of 2220122230020 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thirty thousand, twenty".
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