Base | Representation |
---|---|
bin | 11010111110010… |
… | …10101100000000 |
3 | 120202202220122022 |
4 | 31133022230000 |
5 | 430411232143 |
6 | 34241501012 |
7 | 5415204050 |
oct | 1537125400 |
9 | 522686568 |
10 | 226274048 |
11 | 1067a9050 |
12 | 63941768 |
13 | 37b56390 |
14 | 220a1560 |
15 | 14ce9268 |
hex | d7cab00 |
226274048 has 144 divisors (see below), whose sum is σ = 607117056. Its totient is φ = 81285120.
The previous prime is 226274033. The next prime is 226274051. The reversal of 226274048 is 840472622.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 226273999 and 226274017.
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 15 ways as a sum of consecutive naturals, for example, 255815 + ... + 256697.
Almost surely, 2226274048 is an apocalyptic number.
226274048 is a gapful number since it is divisible by the number (28) 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 226274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303558528).
226274048 is an abundant number, since it is smaller than the sum of its proper divisors (380843008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226274048 is a wasteful number, since it uses less digits than its factorization.
226274048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 930 (or 916 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 35.
The square root of 226274048 is about 15042.4083178193. The cubic root of 226274048 is about 609.3660420791.
The spelling of 226274048 in words is "two hundred twenty-six million, two hundred seventy-four thousand, forty-eight".
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