Base | Representation |
---|---|
bin | 100111010100101100… |
… | …110110110010110000 |
3 | 11000222121110112111210 |
4 | 213110230312302300 |
5 | 1142433121443344 |
6 | 31221434240120 |
7 | 3023221366143 |
oct | 472454666260 |
9 | 130877415453 |
10 | 42223234224 |
11 | 169a7a078a6 |
12 | 8224586040 |
13 | 3c9b85a482 |
14 | 208797605a |
15 | 1171c92db9 |
hex | 9d4b36cb0 |
42223234224 has 80 divisors (see below), whose sum is σ = 110569574880. Its totient is φ = 13882828800.
The previous prime is 42223234121. The next prime is 42223234231. The reversal of 42223234224 is 42243232224.
42223234224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 42223234191 and 42223234200.
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, 1287924 + ... + 1320300.
It is an arithmetic number, because the mean of its divisors is an integer number (1382119686).
Almost surely, 242223234224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42223234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55284787440).
42223234224 is an abundant number, since it is smaller than the sum of its proper divisors (68346340656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42223234224 is a wasteful number, since it uses less digits than its factorization.
42223234224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 32758 (or 32752 counting only the distinct ones).
The product of its digits is 36864, while the sum is 30.
Adding to 42223234224 its reverse (42243232224), we get a palindrome (84466466448).
The spelling of 42223234224 in words is "forty-two billion, two hundred twenty-three million, two hundred thirty-four thousand, two hundred twenty-four".
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