Base | Representation |
---|---|
bin | 11010101011110… |
… | …10000111000000 |
3 | 120121012121011000 |
4 | 31111322013000 |
5 | 424301044343 |
6 | 34113452000 |
7 | 5355444501 |
oct | 1525720700 |
9 | 517177130 |
10 | 223846848 |
11 | 1053a04a5 |
12 | 62b71000 |
13 | 374b6674 |
14 | 21a2cba8 |
15 | 149b9ed3 |
hex | d57a1c0 |
223846848 has 112 divisors (see below), whose sum is σ = 661842720. Its totient is φ = 74188800.
The previous prime is 223846823. The next prime is 223846859. The reversal of 223846848 is 848648322.
It is a super-2 number, since 2×2238468482 = 100214822719070208, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
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 15 ways as a sum of consecutive naturals, for example, 485338 + ... + 485798.
It is an arithmetic number, because the mean of its divisors is an integer number (5909310).
Almost surely, 2223846848 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 223846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330921360).
223846848 is an abundant number, since it is smaller than the sum of its proper divisors (437995872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223846848 is a wasteful number, since it uses less digits than its factorization.
223846848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 763 (or 747 counting only the distinct ones).
The product of its digits is 589824, while the sum is 45.
The square root of 223846848 is about 14961.5122230341. The cubic root of 223846848 is about 607.1793522014.
The spelling of 223846848 in words is "two hundred twenty-three million, eight hundred forty-six thousand, eight hundred forty-eight".
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