Base | Representation |
---|---|
bin | 110010100000100100111101… |
… | …011100001101000101001000 |
3 | 1002010112110211121220012111222 |
4 | 302200210331130031011020 |
5 | 213104024314241221300 |
6 | 2104242103215341212 |
7 | 64535105625645542 |
oct | 6240447534150510 |
9 | 1063473747805458 |
10 | 222141034320200 |
11 | 6486553573a396 |
12 | 20ab8506b21808 |
13 | 96c4a6aa61648 |
14 | 3cbd97d482692 |
15 | 1aa35e8834785 |
hex | ca093d70d148 |
222141034320200 has 96 divisors (see below), whose sum is σ = 523779768527400. Its totient is φ = 87601233807360.
The previous prime is 222141034320199. The next prime is 222141034320221. The reversal of 222141034320200 is 2023430141222.
It can be written as a sum of positive squares in 12 ways, for example, as 127517439539044 + 94623594781156 = 11292362^2 + 9727466^2 .
It is a super-2 number, since 2×2221410343202002 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 222141034320200.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30416654 + ... + 37006146.
Almost surely, 2222141034320200 is an apocalyptic number.
222141034320200 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 222141034320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261889884263700).
222141034320200 is an abundant number, since it is smaller than the sum of its proper divisors (301638734207200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222141034320200 is a wasteful number, since it uses less digits than its factorization.
222141034320200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6591891 (or 6591882 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 26.
Adding to 222141034320200 its reverse (2023430141222), we get a palindrome (224164464461422).
The spelling of 222141034320200 in words is "two hundred twenty-two trillion, one hundred forty-one billion, thirty-four million, three hundred twenty thousand, two hundred".
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