Base | Representation |
---|---|
bin | 11010100110111… |
… | …00101011100000 |
3 | 120112222211121100 |
4 | 31103130223200 |
5 | 424114431031 |
6 | 34051554400 |
7 | 5350120512 |
oct | 1523345340 |
9 | 515884540 |
10 | 223202016 |
11 | 104a9aa84 |
12 | 628bba00 |
13 | 3731bccb |
14 | 21901bb2 |
15 | 148ddde6 |
hex | d4dcae0 |
223202016 has 36 divisors (see below), whose sum is σ = 634731552. Its totient is φ = 74400576.
The previous prime is 223201997. The next prime is 223202017. The reversal of 223202016 is 610202322.
223202016 is digitally balanced in base 2, 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 (36).
It is a super-3 number, since 3×2232020163 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 223202016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223202017) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 387216 + ... + 387791.
It is an arithmetic number, because the mean of its divisors is an integer number (17631432).
Almost surely, 2223202016 is an apocalyptic number.
It is an amenable number.
223202016 is an abundant number, since it is smaller than the sum of its proper divisors (411529536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223202016 is a wasteful number, since it uses less digits than its factorization.
223202016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 775023 (or 775012 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 223202016 is about 14939.9469878578. The cubic root of 223202016 is about 606.5957608767.
Adding to 223202016 its reverse (610202322), we get a palindrome (833404338).
It can be divided in two parts, 2232020 and 16, that added together give a square (2232036 = 14942).
The spelling of 223202016 in words is "two hundred twenty-three million, two hundred two thousand, sixteen".
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