Base | Representation |
---|---|
bin | 11010111111010… |
… | …01011100010000 |
3 | 120210000022102210 |
4 | 31133221130100 |
5 | 430424300031 |
6 | 34244312120 |
7 | 5416240233 |
oct | 1537513420 |
9 | 523008383 |
10 | 226400016 |
11 | 106884757 |
12 | 639a2640 |
13 | 37b9b80b |
14 | 220d541a |
15 | 14d21746 |
hex | d7e9710 |
226400016 has 80 divisors (see below), whose sum is σ = 625299264. Its totient is φ = 70336512.
The previous prime is 226400011. The next prime is 226400021. The reversal of 226400016 is 610004622.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (226400011) and next prime (226400021).
It is a junction number, because it is equal to n+sod(n) for n = 226399965 and 226400001.
It is not an unprimeable number, because it can be changed into a prime (226400011) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86016 + ... + 88608.
Almost surely, 2226400016 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 226400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312649632).
226400016 is an abundant number, since it is smaller than the sum of its proper divisors (398899248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226400016 is a wasteful number, since it uses less digits than its factorization.
226400016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2728 (or 2722 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 226400016 is about 15046.5948307250. The cubic root of 226400016 is about 609.4791002378.
Adding to 226400016 its reverse (610004622), we get a palindrome (836404638).
The spelling of 226400016 in words is "two hundred twenty-six million, four hundred thousand, sixteen".
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