Base | Representation |
---|---|
bin | 11010100111110… |
… | …10011101100000 |
3 | 120120020000221021 |
4 | 31103322131200 |
5 | 424132332000 |
6 | 34054335224 |
7 | 5351136244 |
oct | 1523723540 |
9 | 516200837 |
10 | 223324000 |
11 | 105073699 |
12 | 6295a514 |
13 | 373626a3 |
14 | 21934424 |
15 | 1491511a |
hex | d4fa760 |
223324000 has 96 divisors (see below), whose sum is σ = 566721792. Its totient is φ = 86400000.
The previous prime is 223323979. The next prime is 223324037. The reversal of 223324000 is 423322.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123100 + ... + 124900.
It is an arithmetic number, because the mean of its divisors is an integer number (5903352).
Almost surely, 2223324000 is an apocalyptic number.
223324000 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 223324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283360896).
223324000 is an abundant number, since it is smaller than the sum of its proper divisors (343397792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223324000 is a wasteful number, since it uses less digits than its factorization.
223324000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1857 (or 1839 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 223324000 is about 14944.0289078950. The cubic root of 223324000 is about 606.7062459921.
Adding to 223324000 its reverse (423322), we get a palindrome (223747322).
The spelling of 223324000 in words is "two hundred twenty-three million, three hundred twenty-four thousand".
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