Base | Representation |
---|---|
bin | 1000011110111100000000 |
3 | 11011222120122 |
4 | 20132330000 |
5 | 1032130442 |
6 | 115355412 |
7 | 24621410 |
oct | 10367400 |
9 | 4158518 |
10 | 2223872 |
11 | 1289912 |
12 | 8b2b68 |
13 | 5cb301 |
14 | 41c640 |
15 | 2dddd2 |
hex | 21ef00 |
2223872 has 72 divisors (see below), whose sum is σ = 5445216. Its totient is φ = 884736.
The previous prime is 2223869. The next prime is 2223883. The reversal of 2223872 is 2783222.
2223872 is nontrivially palindromic in base 15.
2223872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a d-powerful number, because it can be written as 24 + 211 + 216 + 310 + 82 + 7 + 221 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30428 + ... + 30500.
It is an arithmetic number, because the mean of its divisors is an integer number (75628).
22223872 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 2223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722608).
2223872 is an abundant number, since it is smaller than the sum of its proper divisors (3221344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223872 is an equidigital number, since it uses as much as digits as its factorization.
2223872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 99 counting only the distinct ones).
The product of its digits is 2688, while the sum is 26.
The square root of 2223872 is about 1491.2652346246. The cubic root of 2223872 is about 130.5278733589.
It can be divided in two parts, 2 and 223872, that multiplied together give a palindrome (447744).
The spelling of 2223872 in words is "two million, two hundred twenty-three thousand, eight hundred seventy-two".
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