Base | Representation |
---|---|
bin | 11010100110001… |
… | …10100100000000 |
3 | 120112211020100002 |
4 | 31103012210000 |
5 | 424104031144 |
6 | 34050015132 |
7 | 5346262424 |
oct | 1523064400 |
9 | 515736302 |
10 | 223111424 |
11 | 104a38a08 |
12 | 628774a8 |
13 | 372b99c3 |
14 | 218bab84 |
15 | 148c214e |
hex | d4c6900 |
223111424 has 36 divisors (see below), whose sum is σ = 449812860. Its totient is φ = 110438400.
The previous prime is 223111423. The next prime is 223111429. The reversal of 223111424 is 424111322.
It can be written as a sum of positive squares in 2 ways, for example, as 196897024 + 26214400 = 14032^2 + 5120^2 .
It is a super-3 number, since 3×2231114243 (a number of 26 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223111396 and 223111405.
It is not an unprimeable number, because it can be changed into a prime (223111423) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21542 + ... + 30170.
Almost surely, 2223111424 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 223111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224906430).
223111424 is an abundant number, since it is smaller than the sum of its proper divisors (226701436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223111424 is an equidigital number, since it uses as much as digits as its factorization.
223111424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8746 (or 8732 counting only the distinct ones).
The product of its digits is 384, while the sum is 20.
The square root of 223111424 is about 14936.9148086210. The cubic root of 223111424 is about 606.5136825268.
Adding to 223111424 its reverse (424111322), we get a palindrome (647222746).
The spelling of 223111424 in words is "two hundred twenty-three million, one hundred eleven thousand, four hundred twenty-four".
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