Base | Representation |
---|---|
bin | 11010111100110… |
… | …11101000010000 |
3 | 120202102010020100 |
4 | 31132123220100 |
5 | 430334100141 |
6 | 34233412400 |
7 | 5413442100 |
oct | 1536335020 |
9 | 522363210 |
10 | 226081296 |
11 | 106687251 |
12 | 6386a100 |
13 | 37ab971c |
14 | 22051200 |
15 | 14cac0b6 |
hex | d79ba10 |
226081296 has 135 divisors (see below), whose sum is σ = 740148591. Its totient is φ = 64233792.
The previous prime is 226081267. The next prime is 226081301. The reversal of 226081296 is 692180622.
It is a happy number.
The square root of 226081296 is 15036.
It is a perfect power (a square), and thus also a powerful number.
226081296 is a `hidden beast` number, since 22 + 608 + 1 + 29 + 6 = 666.
226081296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2260812962 = 102225504802079232, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 226081296.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1262935 + ... + 1263113.
Almost surely, 2226081296 is an apocalyptic number.
226081296 is the 15036-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 226081296
226081296 is an abundant number, since it is smaller than the sum of its proper divisors (514067295).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226081296 is a wasteful number, since it uses less digits than its factorization.
226081296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 386 (or 191 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The cubic root of 226081296 is about 609.1929630303.
Multiplying 226081296 by its sum of digits (36), we get a square (8138926656 = 902162).
226081296 divided by its sum of digits (36) gives a square (6280036 = 25062).
Multiplying 226081296 by its product of nonzero digits (20736), we get a square (4688021753856 = 21651842).
The spelling of 226081296 in words is "two hundred twenty-six million, eighty-one thousand, two hundred ninety-six".
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