| Base | Representation |
|---|---|
| bin | 11010100111111… |
| … | …00011010100000 |
| 3 | 120120020102220120 |
| 4 | 31103330122200 |
| 5 | 424133111000 |
| 6 | 34054440240 |
| 7 | 5351201463 |
| oct | 1523743240 |
| 9 | 516212816 |
| 10 | 223332000 |
| 11 | 105079701 |
| 12 | 62963080 |
| 13 | 37366218 |
| 14 | 219372da |
| 15 | 149176a0 |
| hex | d4fc6a0 |
223332000 has 192 divisors, whose sum is σ = 752903424. Its totient is φ = 57830400.
The previous prime is 223331993. The next prime is 223332007. The reversal of 223332000 is 233322.
223332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (223331993) and next prime (223332007).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223332007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443749 + ... + 444251.
It is an arithmetic number, because the mean of its divisors is an integer number (3921372).
Almost surely, 2223332000 is an apocalyptic number.
223332000 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 223332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).
223332000 is an abundant number, since it is smaller than the sum of its proper divisors (529571424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223332000 is a wasteful number, since it uses less digits than its factorization.
223332000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 568 (or 550 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 15.
The square root of 223332000 is about 14944.2965709330. The cubic root of 223332000 is about 606.7134904621.
Adding to 223332000 its reverse (233322), we get a palindrome (223565322).
The spelling of 223332000 in words is "two hundred twenty-three million, three hundred thirty-two thousand".
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