| Base | Representation |
|---|---|
| bin | 1100111111101000110… |
| … | …1010000100111000000 |
| 3 | 210100020001112111120100 |
| 4 | 3033322031100213000 |
| 5 | 12124144211041000 |
| 6 | 250315555442400 |
| 7 | 22062060100014 |
| oct | 3177215204700 |
| 9 | 710201474510 |
| 10 | 223241112000 |
| 11 | 86748873685 |
| 12 | 37322bb6400 |
| 13 | 1808932b35a |
| 14 | ab3aa14544 |
| 15 | 5c18a0ea00 |
| hex | 33fa3509c0 |
223241112000 has 336 divisors, whose sum is σ = 800020447200. Its totient is φ = 59422924800.
The previous prime is 223241111993. The next prime is 223241112001. The reversal of 223241112000 is 211142322.
It is a happy number.
223241112000 is a `hidden beast` number, since 2 + 232 + 411 + 1 + 20 + 0 + 0 = 666.
It is a super-4 number, since 4×2232411120004 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223241112001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44565496 + ... + 44570504.
Almost surely, 2223241112000 is an apocalyptic number.
223241112000 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 223241112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400010223600).
223241112000 is an abundant number, since it is smaller than the sum of its proper divisors (576779335200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223241112000 is a wasteful number, since it uses less digits than its factorization.
223241112000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5661 (or 5638 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 223241112000 its reverse (211142322), we get a palindrome (223452254322).
It can be divided in two parts, 223241 and 112000, that added together give a square (335241 = 5792).
The spelling of 223241112000 in words is "two hundred twenty-three billion, two hundred forty-one million, one hundred twelve thousand".
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