Base | Representation |
---|---|
bin | 1010000011110001110000… |
… | …00011100001010001010010 |
3 | 2220022122122100220202112100 |
4 | 11001320320003201101102 |
5 | 10344403301114134302 |
6 | 115013444155341230 |
7 | 4442055523620060 |
oct | 501707003412122 |
9 | 86278570822470 |
10 | 22120022021202 |
11 | 7059059843886 |
12 | 2593012751816 |
13 | c45ba8472861 |
14 | 566886d47030 |
15 | 2855d4c18d1c |
hex | 141e380e1452 |
22120022021202 has 192 divisors, whose sum is σ = 56644836019200. Its totient is φ = 6108063984000.
The previous prime is 22120022021191. The next prime is 22120022021231. The reversal of 22120022021202 is 20212022002122.
22120022021202 is a `hidden beast` number, since 2 + 21 + 200 + 220 + 21 + 202 = 666.
It is a super-2 number, since 2×221200220212022 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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, 253478077 + ... + 253565327.
It is an arithmetic number, because the mean of its divisors is an integer number (295025187600).
Almost surely, 222120022021202 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22120022021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28322418009600).
22120022021202 is an abundant number, since it is smaller than the sum of its proper divisors (34524813997998).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22120022021202 is a wasteful number, since it uses less digits than its factorization.
22120022021202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87901 (or 87898 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22120022021202 its reverse (20212022002122), we get a palindrome (42332044023324).
The spelling of 22120022021202 in words is "twenty-two trillion, one hundred twenty billion, twenty-two million, twenty-one thousand, two hundred two".
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