Base | Representation |
---|---|
bin | 1010000011110101101101… |
… | …00010110001100001000000 |
3 | 2220022212010021001201221200 |
4 | 11001322312202301201000 |
5 | 10344422122400042144 |
6 | 115014434524021200 |
7 | 4442162232432243 |
oct | 501726642614100 |
9 | 86285107051850 |
10 | 22122144143424 |
11 | 7059a487116a6 |
12 | 2593505391800 |
13 | c46156007a90 |
14 | 566a08b1125a |
15 | 2856ab1a0c69 |
hex | 141eb68b1840 |
22122144143424 has 672 divisors, whose sum is σ = 74313943441920. Its totient is φ = 6230721429504.
The previous prime is 22122144143381. The next prime is 22122144143453. The reversal of 22122144143424 is 42434144122122.
22122144143424 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 214 + 4 + 1 + 434 + 2 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673761312 + ... + 673794144.
It is an arithmetic number, because the mean of its divisors is an integer number (110586225360).
Almost surely, 222122144143424 is an apocalyptic number.
22122144143424 is a gapful number since it is divisible by the number (24) 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 22122144143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156971720960).
22122144143424 is an abundant number, since it is smaller than the sum of its proper divisors (52191799298496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122144143424 is a wasteful number, since it uses less digits than its factorization.
22122144143424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33027 (or 33014 counting only the distinct ones).
The product of its digits is 98304, while the sum is 36.
Adding to 22122144143424 its reverse (42434144122122), we get a palindrome (64556288265546).
The spelling of 22122144143424 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred forty-four million, one hundred forty-three thousand, four hundred twenty-four".
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