Base | Representation |
---|---|
bin | 1001001111100000000000 |
3 | 11120002102202 |
4 | 21033200000 |
5 | 1110012114 |
6 | 123532332 |
7 | 26410340 |
oct | 11174000 |
9 | 4502382 |
10 | 2422784 |
11 | 1405301 |
12 | 98a0a8 |
13 | 66aa00 |
14 | 470d20 |
15 | 32ccde |
hex | 24f800 |
2422784 has 72 divisors (see below), whose sum is σ = 5995080. Its totient is φ = 958464.
The previous prime is 2422781. The next prime is 2422793. The reversal of 2422784 is 4872242.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a zygodrome in base 13.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2422781) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186362 + ... + 186374.
It is an arithmetic number, because the mean of its divisors is an integer number (83265).
22422784 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 2422784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997540).
2422784 is an abundant number, since it is smaller than the sum of its proper divisors (3572296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2422784 is an equidigital number, since it uses as much as digits as its factorization.
2422784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55 (or 22 counting only the distinct ones).
The product of its digits is 7168, while the sum is 29.
The square root of 2422784 is about 1556.5294728980. The cubic root of 2422784 is about 134.3089330176.
The spelling of 2422784 in words is "two million, four hundred twenty-two thousand, seven hundred eighty-four".
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