Base | Representation |
---|---|
bin | 11010100101011… |
… | …10010110000000 |
3 | 120112122012021000 |
4 | 31102232112000 |
5 | 424042342344 |
6 | 34043532000 |
7 | 5345400261 |
oct | 1522562600 |
9 | 515565230 |
10 | 223012224 |
11 | 104980426 |
12 | 6282a000 |
13 | 372837c6 |
14 | 21892968 |
15 | 148a2a69 |
hex | d4ae580 |
223012224 has 128 divisors (see below), whose sum is σ = 663775200. Its totient is φ = 73709568.
The previous prime is 223012219. The next prime is 223012241. The reversal of 223012224 is 422210322.
223012224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223012197 and 223012206.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597702 + ... + 598074.
Almost surely, 2223012224 is an apocalyptic number.
223012224 is a gapful number since it is divisible by the number (24) 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 223012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331887600).
223012224 is an abundant number, since it is smaller than the sum of its proper divisors (440762976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223012224 is a wasteful number, since it uses less digits than its factorization.
223012224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 569 (or 551 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 223012224 is about 14933.5938072522. The cubic root of 223012224 is about 606.4237796501.
Adding to 223012224 its reverse (422210322), we get a palindrome (645222546).
The spelling of 223012224 in words is "two hundred twenty-three million, twelve thousand, two hundred twenty-four".
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