Base | Representation |
---|---|
bin | 1010000000111011111101… |
… | …00101111100010011001010 |
3 | 2212222022201101202102210020 |
4 | 11000131332211330103022 |
5 | 10341303404311431442 |
6 | 114500543255201310 |
7 | 4432032061424115 |
oct | 500357645742312 |
9 | 85868641672706 |
10 | 22022421202122 |
11 | 7020724710930 |
12 | 2578114376236 |
13 | c39922a22cc3 |
14 | 561c687b157c |
15 | 282cc14429ec |
hex | 14077e97c4ca |
22022421202122 has 96 divisors (see below), whose sum is σ = 49579997659200. Its totient is φ = 6466992844800.
The previous prime is 22022421202099. The next prime is 22022421202141. The reversal of 22022421202122 is 22120212422022.
It is a super-3 number, since 3×220224212021223 (a number of 41 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22022421202092 and 22022421202101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15864858 + ... + 17197050.
It is an arithmetic number, because the mean of its divisors is an integer number (516458308950).
Almost surely, 222022421202122 is an apocalyptic number.
22022421202122 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 22022421202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789998829600).
22022421202122 is an abundant number, since it is smaller than the sum of its proper divisors (27557576457078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022421202122 is a wasteful number, since it uses less digits than its factorization.
22022421202122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1332440 (or 1332399 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
Adding to 22022421202122 its reverse (22120212422022), we get a palindrome (44142633624144).
The spelling of 22022421202122 in words is "twenty-two trillion, twenty-two billion, four hundred twenty-one million, two hundred two thousand, one hundred twenty-two".
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