Base | Representation |
---|---|
bin | 1000101110011011000000 |
3 | 11022012120200 |
4 | 20232123000 |
5 | 1041143141 |
6 | 121005200 |
7 | 25304334 |
oct | 10563300 |
9 | 4265520 |
10 | 2287296 |
11 | 1322530 |
12 | 923800 |
13 | 62113b |
14 | 4377c4 |
15 | 302ab6 |
hex | 22e6c0 |
2287296 has 126 divisors (see below), whose sum is σ = 7548372. Its totient is φ = 656640.
The previous prime is 2287291. The next prime is 2287301. The reversal of 2287296 is 6927822.
It is an interprime number because it is at equal distance from previous prime (2287291) and next prime (2287301).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a d-powerful number, because it can be written as 212 + 217 + 82 + 77 + 220 + 9 + 67 .
It is a self number, because there is not a number n which added to its sum of digits gives 2287296.
It is not an unprimeable number, because it can be changed into a prime (2287291) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120375 + ... + 120393.
22287296 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 2287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774186).
2287296 is an abundant number, since it is smaller than the sum of its proper divisors (5261076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2287296 is a wasteful number, since it uses less digits than its factorization.
2287296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67 (or 35 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 2287296 is about 1512.3809044021. The cubic root of 2287296 is about 131.7571291662.
2287296 divided by its sum of digits (36) gives a palindrome (63536).
The spelling of 2287296 in words is "two million, two hundred eighty-seven thousand, two hundred ninety-six".
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