Base | Representation |
---|---|
bin | 1111101110111100… |
… | …1010000100011000 |
3 | 101220100011010221010 |
4 | 3323233022010120 |
5 | 32122200140344 |
6 | 1535031013520 |
7 | 206442450360 |
oct | 37357120430 |
9 | 11810133833 |
10 | 4223443224 |
11 | 1878029450 |
12 | 99a50a2a0 |
13 | 523cc6440 |
14 | 2c0cb99a0 |
15 | 19abb08b9 |
hex | fbbca118 |
4223443224 has 512 divisors, whose sum is σ = 15049359360. Its totient is φ = 952473600.
The previous prime is 4223443223. The next prime is 4223443247.
4223443224 is nontrivially palindromic in base 10.
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 = 4223443191 and 4223443200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4223443223) 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 127 ways as a sum of consecutive naturals, for example, 39471379 + ... + 39471485.
It is an arithmetic number, because the mean of its divisors is an integer number (29393280).
Almost surely, 24223443224 is an apocalyptic number.
4223443224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4223443224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524679680).
4223443224 is an abundant number, since it is smaller than the sum of its proper divisors (10825916136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4223443224 is a wasteful number, since it uses less digits than its factorization.
4223443224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 231 (or 227 counting only the distinct ones).
The product of its digits is 36864, while the sum is 30.
The square root of 4223443224 is about 64988.0236966781. The cubic root of 4223443224 is about 1616.4249803346.
It can be divided in two parts, 42234 and 43224, that added together give a palindrome (85458).
The spelling of 4223443224 in words is "four billion, two hundred twenty-three million, four hundred forty-three thousand, two hundred twenty-four".
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