| Base | Representation |
|---|---|
| bin | 1100111111001111000… |
| … | …1111111110011110000 |
| 3 | 210022221112200012001101 |
| 4 | 3033303301333303300 |
| 5 | 12123434111131000 |
| 6 | 250301145014144 |
| 7 | 22056310526110 |
| oct | 3176361776360 |
| 9 | 708845605041 |
| 10 | 223133302000 |
| 11 | 866a2a28404 |
| 12 | 372b2a84354 |
| 13 | 1806cbb1a5b |
| 14 | ab2a58d040 |
| 15 | 5c0e315e6a |
| hex | 33f3c7fcf0 |
223133302000 has 320 divisors, whose sum is σ = 650515507200. Its totient is φ = 72314726400.
The previous prime is 223133301991. The next prime is 223133302003. The reversal of 223133302000 is 203331322.
It is a happy number.
223133302000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231333020003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223133302003) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197637436 + ... + 197638564.
It is an arithmetic number, because the mean of its divisors is an integer number (2032860960).
Almost surely, 2223133302000 is an apocalyptic number.
223133302000 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 223133302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325257753600).
223133302000 is an abundant number, since it is smaller than the sum of its proper divisors (427382205200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223133302000 is a wasteful number, since it uses less digits than its factorization.
223133302000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1921 (or 1905 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 19.
Adding to 223133302000 its reverse (203331322), we get a palindrome (223336633322).
The spelling of 223133302000 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred two thousand".
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