Base | Representation |
---|---|
bin | 1010000000010010001111… |
… | …00000001110111010001010 |
3 | 2212220011220100221021110200 |
4 | 11000021013200032322022 |
5 | 10340422021130401442 |
6 | 114442400505153030 |
7 | 4430310025404642 |
oct | 500110740167212 |
9 | 85804810837420 |
10 | 22000022122122 |
11 | 701217aa48570 |
12 | 2573902a8b776 |
13 | c377932c2405 |
14 | 560b41a29522 |
15 | 28240ec8334c |
hex | 14024780ee8a |
22000022122122 has 48 divisors (see below), whose sum is σ = 52027845816960. Its totient is φ = 6663110097600.
The previous prime is 22000022122121. The next prime is 22000022122129. The reversal of 22000022122122 is 22122122000022.
22000022122122 is a `hidden beast` number, since 2 + 200 + 0 + 0 + 221 + 221 + 22 = 666.
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 = 22000022122095 and 22000022122104.
It is not an unprimeable number, because it can be changed into a prime (22000022122121) 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 23 ways as a sum of consecutive naturals, for example, 29322547 + ... + 30063462.
It is an arithmetic number, because the mean of its divisors is an integer number (1083913454520).
Almost surely, 222000022122122 is an apocalyptic number.
22000022122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22000022122122 is an abundant number, since it is smaller than the sum of its proper divisors (30027823694838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22000022122122 is a wasteful number, since it uses less digits than its factorization.
22000022122122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59387899 (or 59387896 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22000022122122 its reverse (22122122000022), we get a palindrome (44122144122144).
The spelling of 22000022122122 in words is "twenty-two trillion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".
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