| Base | Representation |
|---|---|
| bin | 11010101100011… |
| … | …11001101000000 |
| 3 | 120121100222200000 |
| 4 | 31112033031000 |
| 5 | 424311330443 |
| 6 | 34115400000 |
| 7 | 5356254420 |
| oct | 1526171500 |
| 9 | 517328600 |
| 10 | 223933248 |
| 11 | 10544a400 |
| 12 | 62bb3000 |
| 13 | 37516aa6 |
| 14 | 21a52480 |
| 15 | 149d58d3 |
| hex | d58f340 |
223933248 has 504 divisors, whose sum is σ = 885358656. Its totient is φ = 54743040.
The previous prime is 223933247. The next prime is 223933277. The reversal of 223933248 is 842339322.
223933248 is a `hidden beast` number, since 22 + 393 + 3 + 248 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223933247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13172536 + ... + 13172552.
It is an arithmetic number, because the mean of its divisors is an integer number (1756664).
Almost surely, 2223933248 is an apocalyptic number.
223933248 is a gapful number since it is divisible by the number (28) 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 223933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442679328).
223933248 is an abundant number, since it is smaller than the sum of its proper divisors (661425408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223933248 is a wasteful number, since it uses less digits than its factorization.
223933248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 40 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 223933248 is about 14964.3993531314. The cubic root of 223933248 is about 607.2574614808.
The spelling of 223933248 in words is "two hundred twenty-three million, nine hundred thirty-three thousand, two hundred forty-eight".
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