Base | Representation |
---|---|
bin | 11010100111000… |
… | …10101111000000 |
3 | 120120001002121212 |
4 | 31103202233000 |
5 | 424121224231 |
6 | 34052305252 |
7 | 5350253021 |
oct | 1523425700 |
9 | 516032555 |
10 | 223226816 |
11 | 10500767a |
12 | 62912228 |
13 | 3732a397 |
14 | 2190ac48 |
15 | 148e642b |
hex | d4e2bc0 |
223226816 has 28 divisors (see below), whose sum is σ = 450235320. Its totient is φ = 109781760.
The previous prime is 223226797. The next prime is 223226819. The reversal of 223226816 is 618622322.
223226816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2232268163 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223226819) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 24686 + ... + 32493.
Almost surely, 2223226816 is an apocalyptic number.
It is an amenable number.
223226816 is an abundant number, since it is smaller than the sum of its proper divisors (227008504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223226816 is an equidigital number, since it uses as much as digits as its factorization.
223226816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57252 (or 57242 counting only the distinct ones).
The product of its digits is 13824, while the sum is 32.
The square root of 223226816 is about 14940.7769543622. The cubic root of 223226816 is about 606.6182263514.
The spelling of 223226816 in words is "two hundred twenty-three million, two hundred twenty-six thousand, eight hundred sixteen".
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