Base | Representation |
---|---|
bin | 110010110011001110010000… |
… | …010000110111110000010000 |
3 | 1002022001222001220200121202212 |
4 | 302303032100100313300100 |
5 | 213241022404433044100 |
6 | 2111102444310331252 |
7 | 65026505320330400 |
oct | 6263162020676020 |
9 | 1068058056617685 |
10 | 223422324112400 |
11 | 6520996a398526 |
12 | 210848b0359b28 |
13 | 9788833753aba |
14 | 3d259abb6a800 |
15 | 1ac6ad9d64635 |
hex | cb3390437c10 |
223422324112400 has 360 divisors, whose sum is σ = 627462401711040. Its totient is φ = 76228166353920.
The previous prime is 223422324112357. The next prime is 223422324112409. The reversal of 223422324112400 is 4211423224322.
It is not an unprimeable number, because it can be changed into a prime (223422324112409) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3420970946 + ... + 3421036254.
It is an arithmetic number, because the mean of its divisors is an integer number (1742951115864).
Almost surely, 2223422324112400 is an apocalyptic number.
223422324112400 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 223422324112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313731200855520).
223422324112400 is an abundant number, since it is smaller than the sum of its proper divisors (404040077598640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223422324112400 is a wasteful number, since it uses less digits than its factorization.
223422324112400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66191 (or 66173 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 32.
Adding to 223422324112400 its reverse (4211423224322), we get a palindrome (227633747336722).
The spelling of 223422324112400 in words is "two hundred twenty-three trillion, four hundred twenty-two billion, three hundred twenty-four million, one hundred twelve thousand, four hundred".
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