Base | Representation |
---|---|
bin | 11010100111001… |
… | …10000000100000 |
3 | 120120001210000110 |
4 | 31103212000200 |
5 | 424122141344 |
6 | 34052451320 |
7 | 5350340064 |
oct | 1523460040 |
9 | 516053013 |
10 | 223240224 |
11 | 105016759 |
12 | 62919b40 |
13 | 3733350c |
14 | 21911aa4 |
15 | 148ea3b9 |
hex | d4e6020 |
223240224 has 48 divisors (see below), whose sum is σ = 598485888. Its totient is φ = 72828672.
The previous prime is 223240217. The next prime is 223240229. The reversal of 223240224 is 422042322.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-3 number, since 3×2232402243 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 223240224.
It is not an unprimeable number, because it can be changed into a prime (223240229) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20227 + ... + 29250.
It is an arithmetic number, because the mean of its divisors is an integer number (12468456).
Almost surely, 2223240224 is an apocalyptic number.
223240224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
223240224 is an abundant number, since it is smaller than the sum of its proper divisors (375245664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223240224 is a wasteful number, since it uses less digits than its factorization.
223240224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49537 (or 49529 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 223240224 is about 14941.2256525360. The cubic root of 223240224 is about 606.6303715087.
Adding to 223240224 its reverse (422042322), we get a palindrome (645282546).
The spelling of 223240224 in words is "two hundred twenty-three million, two hundred forty thousand, two hundred twenty-four".
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