Base | Representation |
---|---|
bin | 111100010000111… |
… | …0100011001111000 |
3 | 12012220222220200121 |
4 | 1320201310121320 |
5 | 13120131200240 |
6 | 532353143024 |
7 | 101052555406 |
oct | 17041643170 |
9 | 5186886617 |
10 | 2022131320 |
11 | 948493210 |
12 | 48525aa74 |
13 | 262c25911 |
14 | 1527ba476 |
15 | bc7d504a |
hex | 78874678 |
2022131320 has 64 divisors (see below), whose sum is σ = 4975395840. Its totient is φ = 733545600.
The previous prime is 2022131239. The next prime is 2022131323. The reversal of 2022131320 is 231312202.
It is a junction number, because it is equal to n+sod(n) for n = 2022131294 and 2022131303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2022131323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184309 + ... + 194971.
It is an arithmetic number, because the mean of its divisors is an integer number (77740560).
Almost surely, 22022131320 is an apocalyptic number.
2022131320 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 2022131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487697920).
2022131320 is an abundant number, since it is smaller than the sum of its proper divisors (2953264520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022131320 is a wasteful number, since it uses less digits than its factorization.
2022131320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11116 (or 11112 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 2022131320 is about 44968.1144812633. The cubic root of 2022131320 is about 1264.5512987303.
Adding to 2022131320 its reverse (231312202), we get a palindrome (2253443522).
The spelling of 2022131320 in words is "two billion, twenty-two million, one hundred thirty-one thousand, three hundred twenty".
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