| Base | Representation |
|---|---|
| bin | 11010100110100… |
| … | …10010110000000 |
| 3 | 120112220200112100 |
| 4 | 31103102112000 |
| 5 | 424112102210 |
| 6 | 34051030400 |
| 7 | 5346553212 |
| oct | 1523222600 |
| 9 | 515820470 |
| 10 | 223159680 |
| 11 | 104a71197 |
| 12 | 6289b400 |
| 13 | 37305963 |
| 14 | 218d05b2 |
| 15 | 148d15c0 |
| hex | d4d2580 |
223159680 has 384 divisors, whose sum is σ = 850655520. Its totient is φ = 53673984.
The previous prime is 223159661. The next prime is 223159681. The reversal of 223159680 is 86951322.
223159680 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 (384).
It is a super-3 number, since 3×2231596803 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223159681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210534 + ... + 4210586.
Almost surely, 2223159680 is an apocalyptic number.
223159680 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 223159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425327760).
223159680 is an abundant number, since it is smaller than the sum of its proper divisors (627495840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223159680 is a wasteful number, since it uses less digits than its factorization.
223159680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 223159680 is about 14938.5300481674. The cubic root of 223159680 is about 606.5574062919.
The spelling of 223159680 in words is "two hundred twenty-three million, one hundred fifty-nine thousand, six hundred eighty".
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