Base | Representation |
---|---|
bin | 11010111110000… |
… | …11011001000000 |
3 | 120202201101122100 |
4 | 31133003121000 |
5 | 430404303120 |
6 | 34241110400 |
7 | 5415020652 |
oct | 1537033100 |
9 | 522641570 |
10 | 226244160 |
11 | 10678864a |
12 | 63928400 |
13 | 37b458ac |
14 | 220946d2 |
15 | 14ce0490 |
hex | d7c3640 |
226244160 has 168 divisors, whose sum is σ = 824139576. Its totient is φ = 56770560.
The previous prime is 226244149. The next prime is 226244171. The reversal of 226244160 is 61442622.
226244160 is a `hidden beast` number, since 22 + 624 + 4 + 16 + 0 = 666.
226244160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (226244149) and next prime (226244171).
It can be written as a sum of positive squares in 4 ways, for example, as 35141184 + 191102976 = 5928^2 + 13824^2 .
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 46650 + ... + 51270.
Almost surely, 2226244160 is an apocalyptic number.
226244160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 226244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412069788).
226244160 is an abundant number, since it is smaller than the sum of its proper divisors (597895416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226244160 is a wasteful number, since it uses less digits than its factorization.
226244160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4661 (or 4648 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 226244160 is about 15041.4148270700. The cubic root of 226244160 is about 609.3392109948.
Adding to 226244160 its reverse (61442622), we get a palindrome (287686782).
The spelling of 226244160 in words is "two hundred twenty-six million, two hundred forty-four thousand, one hundred sixty".
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