Base | Representation |
---|---|
bin | 100000010101100110110… |
… | …000111101000100100000 |
3 | 21212102221111010022120102 |
4 | 200111212300331010200 |
5 | 242402102340413440 |
6 | 4420512542001532 |
7 | 316356511022315 |
oct | 40254660750440 |
9 | 7772844108512 |
10 | 2222222201120 |
11 | 787491554659 |
12 | 2ba8218762a8 |
13 | 131729763a7c |
14 | 797b0032d0c |
15 | 3cc12322b15 |
hex | 20566c3d120 |
2222222201120 has 96 divisors (see below), whose sum is σ = 5288892537600. Its totient is φ = 882306625536.
The previous prime is 2222222201077. The next prime is 2222222201159. The reversal of 2222222201120 is 211022222222.
It is a super-3 number, since 3×22222222011203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2222222201092 and 2222222201101.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156940601 + ... + 156954759.
It is an arithmetic number, because the mean of its divisors is an integer number (55092630600).
Almost surely, 22222222201120 is an apocalyptic number.
2222222201120 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 2222222201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644446268800).
2222222201120 is an abundant number, since it is smaller than the sum of its proper divisors (3066670336480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222222201120 is a wasteful number, since it uses less digits than its factorization.
2222222201120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21370 (or 21362 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
Adding to 2222222201120 its reverse (211022222222), we get a palindrome (2433244423342).
The spelling of 2222222201120 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".
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