Base | Representation |
---|---|
bin | 11010100110110… |
… | …10010000010000 |
3 | 120112222022222100 |
4 | 31103122100100 |
5 | 424114121310 |
6 | 34051440400 |
7 | 5350046526 |
oct | 1523322020 |
9 | 515868870 |
10 | 223192080 |
11 | 104a93571 |
12 | 628b6100 |
13 | 37317627 |
14 | 218dc316 |
15 | 148daec0 |
hex | d4da410 |
223192080 has 60 divisors (see below), whose sum is σ = 749555820. Its totient is φ = 59517696.
The previous prime is 223192061. The next prime is 223192117. The reversal of 223192080 is 80291322.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 184851216 = 6192^2 + 13596^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a super-3 number, since 3×2231920803 (a number of 26 digits) contains 333 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154275 + ... + 155714.
It is an arithmetic number, because the mean of its divisors is an integer number (12492597).
Almost surely, 2223192080 is an apocalyptic number.
223192080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223192080 is an abundant number, since it is smaller than the sum of its proper divisors (526363740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223192080 is a wasteful number, since it uses less digits than its factorization.
223192080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 310008 (or 309999 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 223192080 is about 14939.6144528565. The cubic root of 223192080 is about 606.5867597260.
The spelling of 223192080 in words is "two hundred twenty-three million, one hundred ninety-two thousand, eighty".
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