Base | Representation |
---|---|
bin | 10100111000010101… |
… | …111100001010010110 |
3 | 2010212111101200211100 |
4 | 110320111330022112 |
5 | 331404022041042 |
6 | 14144420450530 |
7 | 1422406544040 |
oct | 247025741226 |
9 | 63774350740 |
10 | 22420112022 |
11 | 9565629000 |
12 | 4418549a46 |
13 | 2163bb5999 |
14 | 112989ca90 |
15 | 8b346624c |
hex | 53857c296 |
22420112022 has 192 divisors, whose sum is σ = 62504133120. Its totient is φ = 5686148160.
The previous prime is 22420112021. The next prime is 22420112053. The reversal of 22420112022 is 22021102422.
It is a super-2 number, since 2×224201120222 (a number of 22 digits) contains 22 as substring.
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 = 22420111986 and 22420112004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22420112021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7209804 + ... + 7212912.
It is an arithmetic number, because the mean of its divisors is an integer number (325542360).
Almost surely, 222420112022 is an apocalyptic number.
22420112022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22420112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31252066560).
22420112022 is an abundant number, since it is smaller than the sum of its proper divisors (40084021098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22420112022 is a wasteful number, since it uses less digits than its factorization.
22420112022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3200 (or 3175 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22420112022 its reverse (22021102422), we get a palindrome (44441214444).
The spelling of 22420112022 in words is "twenty-two billion, four hundred twenty million, one hundred twelve thousand, twenty-two".
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