Base | Representation |
---|---|
bin | 1000010010010001… |
… | …0001111100111000 |
3 | 12202000001011001111 |
4 | 2010210101330320 |
5 | 14023332300344 |
6 | 1004410130104 |
7 | 106054364650 |
oct | 20444217470 |
9 | 5660034044 |
10 | 2224103224 |
11 | a414a2742 |
12 | 520a20934 |
13 | 295a20615 |
14 | 171553360 |
15 | d03cd834 |
hex | 84911f38 |
2224103224 has 64 divisors (see below), whose sum is σ = 4843074240. Its totient is φ = 937881600.
The previous prime is 2224103209. The next prime is 2224103267. The reversal of 2224103224 is 4223014222.
It is a junction number, because it is equal to n+sod(n) for n = 2224103195 and 2224103204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977352 + ... + 979624.
It is an arithmetic number, because the mean of its divisors is an integer number (75673035).
Almost surely, 22224103224 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 2224103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421537120).
2224103224 is an abundant number, since it is smaller than the sum of its proper divisors (2618971016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2224103224 is a wasteful number, since it uses less digits than its factorization.
2224103224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2560 (or 2556 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 2224103224 is about 47160.3988956837. The cubic root of 2224103224 is about 1305.3239702021.
Adding to 2224103224 its reverse (4223014222), we get a palindrome (6447117446).
The spelling of 2224103224 in words is "two billion, two hundred twenty-four million, one hundred three thousand, two hundred twenty-four".
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