Base | Representation |
---|---|
bin | 11010100110111… |
… | …00111100000000 |
3 | 120112222220001110 |
4 | 31103130330000 |
5 | 424114444242 |
6 | 34052003320 |
7 | 5350123551 |
oct | 1523347400 |
9 | 515886043 |
10 | 223203072 |
11 | 104aa0854 |
12 | 62900540 |
13 | 3731c631 |
14 | 21902328 |
15 | 148de39c |
hex | d4dcf00 |
223203072 has 72 divisors (see below), whose sum is σ = 598025344. Its totient is φ = 73903104.
The previous prime is 223203059. The next prime is 223203107. The reversal of 223203072 is 270302322.
It is a super-3 number, since 3×2232030723 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124293 + ... + 126075.
Almost surely, 2223203072 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 223203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299012672).
223203072 is an abundant number, since it is smaller than the sum of its proper divisors (374822272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223203072 is a wasteful number, since it uses less digits than its factorization.
223203072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1965 (or 1951 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 21.
The square root of 223203072 is about 14939.9823293068. The cubic root of 223203072 is about 606.5967175050.
Adding to 223203072 its reverse (270302322), we get a palindrome (493505394).
The spelling of 223203072 in words is "two hundred twenty-three million, two hundred three thousand, seventy-two".
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