Base | Representation |
---|---|
bin | 11010111100110… |
… | …10111100000000 |
3 | 120202101222100110 |
4 | 31132122330000 |
5 | 430334002324 |
6 | 34233351320 |
7 | 5413430613 |
oct | 1536327400 |
9 | 522358313 |
10 | 226078464 |
11 | 106685107 |
12 | 63868540 |
13 | 37ab8351 |
14 | 2205017a |
15 | 14cab329 |
hex | d79af00 |
226078464 has 72 divisors (see below), whose sum is σ = 603977472. Its totient is φ = 75074560.
The previous prime is 226078453. The next prime is 226078493. The reversal of 226078464 is 464870622.
226078464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2260784642 = 102222943769198592, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330667 + ... + 331349.
It is an arithmetic number, because the mean of its divisors is an integer number (8388576).
Almost surely, 2226078464 is an apocalyptic number.
226078464 is a gapful number since it is divisible by the number (24) 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 226078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301988736).
226078464 is an abundant number, since it is smaller than the sum of its proper divisors (377899008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226078464 is an equidigital number, since it uses as much as digits as its factorization.
226078464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 39.
The square root of 226078464 is about 15035.9058257226. The cubic root of 226078464 is about 609.1904193411.
The spelling of 226078464 in words is "two hundred twenty-six million, seventy-eight thousand, four hundred sixty-four".
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