Base | Representation |
---|---|
bin | 11101011011010111000… |
… | …001111101000111100000 |
3 | 21011022202112112212102100 |
4 | 131123113001331013200 |
5 | 231113023003234130 |
6 | 4145001045250400 |
7 | 266050022310465 |
oct | 35332701750740 |
9 | 7138675485370 |
10 | 2022242243040 |
11 | 70a6a0032228 |
12 | 287b10a03a00 |
13 | 118909641126 |
14 | 6dc3c88b66c |
15 | 3790aa0bc60 |
hex | 1d6d707d1e0 |
2022242243040 has 144 divisors (see below), whose sum is σ = 6912541844208. Its totient is φ = 538354987008.
The previous prime is 2022242243011. The next prime is 2022242243051. The reversal of 2022242243040 is 403422422202.
2022242243040 is a `hidden beast` number, since 2 + 0 + 2 + 224 + 2 + 2 + 430 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 2022242242995 and 2022242243013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330174 + ... + 2038013.
It is an arithmetic number, because the mean of its divisors is an integer number (48003762807).
Almost surely, 22022242243040 is an apocalyptic number.
2022242243040 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 2022242243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456270922104).
2022242243040 is an abundant number, since it is smaller than the sum of its proper divisors (4890299601168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022242243040 is a wasteful number, since it uses less digits than its factorization.
2022242243040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2368801 (or 2368790 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 27.
Adding to 2022242243040 its reverse (403422422202), we get a palindrome (2425664665242).
The spelling of 2022242243040 in words is "two trillion, twenty-two billion, two hundred forty-two million, two hundred forty-three thousand, forty".
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