Base | Representation |
---|---|
bin | 1010000000111011001010… |
… | …11111001011110000000000 |
3 | 2212222021122001012011002122 |
4 | 11000131211133023300000 |
5 | 10341302024000000000 |
6 | 114500433411303412 |
7 | 4432015455315440 |
oct | 500354537136000 |
9 | 85867561164078 |
10 | 22022000000000 |
11 | 7020528984500 |
12 | 25780172aab68 |
13 | c3988669a090 |
14 | 561c2888c120 |
15 | 282c99492085 |
hex | 1407657cbc00 |
22022000000000 has 1320 divisors, whose sum is σ = 74443625189472. Its totient is φ = 6336000000000.
The previous prime is 22021999999949. The next prime is 22022000000003. The reversal of 22022000000000 is 22022.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22022000000003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1693999999994 + ... + 1694000000006.
Almost surely, 222022000000000 is an apocalyptic number.
22022000000000 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 22022000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37221812594736).
22022000000000 is an abundant number, since it is smaller than the sum of its proper divisors (52421625189472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022000000000 is an frugal number, since it uses more digits than its factorization.
22022000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 8.
Adding to 22022000000000 its reverse (22022), we get a palindrome (22022000022022).
22022000000000 divided by its reverse (22022) gives a 9-th power (1000000000 = 109).
It can be divided in two parts, 220 and 22000000000, that multiplied together give a square (4840000000000 = 22000002).
The spelling of 22022000000000 in words is "twenty-two trillion, twenty-two billion", and thus it is an aban number and an uban number.
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