Base | Representation |
---|---|
bin | 11010100111101… |
… | …00101010000000 |
3 | 120120011211022200 |
4 | 31103310222000 |
5 | 424131101344 |
6 | 34054033200 |
7 | 5351010030 |
oct | 1523645200 |
9 | 516154280 |
10 | 223300224 |
11 | 105057844 |
12 | 62948800 |
13 | 37354914 |
14 | 219298c0 |
15 | 1490d069 |
hex | d4f4a80 |
223300224 has 96 divisors (see below), whose sum is σ = 734391840. Its totient is φ = 63797760.
The previous prime is 223300171. The next prime is 223300229. The reversal of 223300224 is 422003322.
223300224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223300197 and 223300206.
It is not an unprimeable number, because it can be changed into a prime (223300229) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5782 + ... + 21909.
It is an arithmetic number, because the mean of its divisors is an integer number (7649915).
Almost surely, 2223300224 is an apocalyptic number.
223300224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
223300224 is an abundant number, since it is smaller than the sum of its proper divisors (511091616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223300224 is a wasteful number, since it uses less digits than its factorization.
223300224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27718 (or 27703 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 223300224 is about 14943.2333850476. The cubic root of 223300224 is about 606.6847144063.
Adding to 223300224 its reverse (422003322), we get a palindrome (645303546).
The spelling of 223300224 in words is "two hundred twenty-three million, three hundred thousand, two hundred twenty-four".
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