Base | Representation |
---|---|
bin | 11011000110001… |
… | …10101000100000 |
3 | 120211201100020100 |
4 | 31203012220200 |
5 | 431142243031 |
6 | 34315542400 |
7 | 5430032520 |
oct | 1543065040 |
9 | 524640210 |
10 | 227306016 |
11 | 107343413 |
12 | 6415aa00 |
13 | 38128002 |
14 | 2228d680 |
15 | 14e4ede6 |
hex | d8c6a20 |
227306016 has 144 divisors (see below), whose sum is σ = 745041024. Its totient is φ = 64392192.
The previous prime is 227305979. The next prime is 227306021. The reversal of 227306016 is 610603722.
It is a happy number.
227306016 is a `hidden beast` number, since 2 + 27 + 30 + 601 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×2273060163 (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 23 ways as a sum of consecutive naturals, for example, 275781 + ... + 276603.
It is an arithmetic number, because the mean of its divisors is an integer number (5173896).
Almost surely, 2227306016 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 227306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372520512).
227306016 is an abundant number, since it is smaller than the sum of its proper divisors (517735008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
227306016 is a wasteful number, since it uses less digits than its factorization.
227306016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 983 (or 972 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 227306016 is about 15076.6712506442. The cubic root of 227306016 is about 610.2910158490.
Adding to 227306016 its reverse (610603722), we get a palindrome (837909738).
The spelling of 227306016 in words is "two hundred twenty-seven million, three hundred six thousand, sixteen".
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