Base | Representation |
---|---|
bin | 1100010010111010111000 |
3 | 20001202102200 |
4 | 30102322320 |
5 | 1311120344 |
6 | 153030200 |
7 | 36253104 |
oct | 14227270 |
9 | 6052380 |
10 | 3223224 |
11 | 1901724 |
12 | 10b5360 |
13 | 88b144 |
14 | 5dc904 |
15 | 43a069 |
hex | 312eb8 |
3223224 has 48 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 1060224.
The previous prime is 3223223. The next prime is 3223247. The reversal of 3223224 is 4223223.
3223224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 3223197 and 3223206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3223223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6157 + ... + 6659.
It is an arithmetic number, because the mean of its divisors is an integer number (184275).
Almost surely, 23223224 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 3223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).
3223224 is an abundant number, since it is smaller than the sum of its proper divisors (5621976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3223224 is a wasteful number, since it uses less digits than its factorization.
3223224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 604 (or 597 counting only the distinct ones).
The product of its digits is 576, while the sum is 18.
The square root of 3223224 is about 1795.3339522217. Note that the first 3 decimals coincide. The cubic root of 3223224 is about 147.7168924419.
Adding to 3223224 its reverse (4223223), we get a palindrome (7446447).
Subtracting 3223224 from its reverse (4223223), we obtain a palindrome (999999).
The spelling of 3223224 in words is "three million, two hundred twenty-three thousand, two hundred twenty-four".
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