Base | Representation |
---|---|
bin | 1010000110101100001011… |
… | …10001101101001011000100 |
3 | 2220200012222200112011120000 |
4 | 11003112011301231023010 |
5 | 10403023241204101040 |
6 | 115131435553041300 |
7 | 4452231021365604 |
oct | 503260561551304 |
9 | 86605880464500 |
10 | 22220110222020 |
11 | 709754aa41517 |
12 | 25aa4a5b56230 |
13 | c52469324319 |
14 | 56b65d9a6c04 |
15 | 287ee1a77130 |
hex | 143585c6d2c4 |
22220110222020 has 120 divisors (see below), whose sum is σ = 69720614818008. Its totient is φ = 5924061619200.
The previous prime is 22220110221979. The next prime is 22220110222021. The reversal of 22220110222020 is 2022201102222.
22220110222020 is a `hidden beast` number, since 222 + 201 + 1 + 0 + 2 + 220 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 18655189056 + 22201455032964 = 136584^2 + 4711842^2 .
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 = 22220110221984 and 22220110222002.
It is not an unprimeable number, because it can be changed into a prime (22220110222021) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5885190 + ... + 8892450.
Almost surely, 222220110222020 is an apocalyptic number.
22220110222020 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 22220110222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860307409004).
22220110222020 is an abundant number, since it is smaller than the sum of its proper divisors (47500504595988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22220110222020 is a wasteful number, since it uses less digits than its factorization.
22220110222020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3011843 (or 3011832 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22220110222020 its reverse (2022201102222), we get a palindrome (24242311324242).
The spelling of 22220110222020 in words is "twenty-two trillion, two hundred twenty billion, one hundred ten million, two hundred twenty-two thousand, twenty".
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