| Base | Representation |
|---|---|
| bin | 11010100111110… |
| … | …10001111110000 |
| 3 | 120120012222201200 |
| 4 | 31103322033300 |
| 5 | 424132314440 |
| 6 | 34054331200 |
| 7 | 5351133546 |
| oct | 1523721760 |
| 9 | 516188650 |
| 10 | 223323120 |
| 11 | 105072a69 |
| 12 | 62959b00 |
| 13 | 37362177 |
| 14 | 21933d96 |
| 15 | 14914c30 |
| hex | d4fa3f0 |
223323120 has 240 divisors, whose sum is σ = 787262112. Its totient is φ = 56678400.
The previous prime is 223323109. The next prime is 223323193. The reversal of 223323120 is 21323322.
It is a happy number.
223323120 is a `hidden beast` number, since 22 + 332 + 312 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
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 = 223323093 and 223323102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2211070 + ... + 2211170.
Almost surely, 2223323120 is an apocalyptic number.
223323120 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 223323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393631056).
223323120 is an abundant number, since it is smaller than the sum of its proper divisors (563938992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223323120 is a wasteful number, since it uses less digits than its factorization.
223323120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 240 (or 231 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 223323120 is about 14943.9994646681. Note that the first 3 decimals coincide. The cubic root of 223323120 is about 606.7054490899.
Adding to 223323120 its reverse (21323322), we get a palindrome (244646442).
It can be divided in two parts, 22332 and 3120, that added together give a palindrome (25452).
The spelling of 223323120 in words is "two hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty".
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