Base | Representation |
---|---|
bin | 1000010011101111… |
… | …1111110001100000 |
3 | 12202102202000011202 |
4 | 2010323333301200 |
5 | 14031430221344 |
6 | 1005151300332 |
7 | 106161260216 |
oct | 20473776140 |
9 | 5672660152 |
10 | 2230320224 |
11 | a44a59660 |
12 | 522b1a6a8 |
13 | 2970b9312 |
14 | 1722d0cb6 |
15 | d0c0a94e |
hex | 84effc60 |
2230320224 has 96 divisors (see below), whose sum is σ = 4904032896. Its totient is φ = 989982720.
The previous prime is 2230320217. The next prime is 2230320227. The reversal of 2230320224 is 4220230322.
It is a junction number, because it is equal to n+sod(n) for n = 2230320196 and 2230320205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2230320227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2833559 + ... + 2834345.
It is an arithmetic number, because the mean of its divisors is an integer number (51083676).
Almost surely, 22230320224 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 2230320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452016448).
2230320224 is an abundant number, since it is smaller than the sum of its proper divisors (2673712672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230320224 is a wasteful number, since it uses less digits than its factorization.
2230320224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 988 (or 980 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
The square root of 2230320224 is about 47226.2662508905. The cubic root of 2230320224 is about 1306.5390890760.
Adding to 2230320224 its reverse (4220230322), we get a palindrome (6450550546).
The spelling of 2230320224 in words is "two billion, two hundred thirty million, three hundred twenty thousand, two hundred twenty-four".
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