| Base | Representation |
|---|---|
| bin | 1000100101010111… |
| … | …1010101100000000 |
| 3 | 12221120210201002122 |
| 4 | 2021111322230000 |
| 5 | 14204340132000 |
| 6 | 1020351303412 |
| 7 | 111046403141 |
| oct | 21125725400 |
| 9 | 5846721078 |
| 10 | 2304224000 |
| 11 | a82746661 |
| 12 | 54381ab68 |
| 13 | 2a94c3970 |
| 14 | 17c04bac8 |
| 15 | d7458085 |
| hex | 8957ab00 |
2304224000 has 288 divisors, whose sum is σ = 6428298240. Its totient is φ = 817152000.
The previous prime is 2304223997. The next prime is 2304224003. The reversal of 2304224000 is 4224032.
It is an interprime number because it is at equal distance from previous prime (2304223997) and next prime (2304224003).
It is a self number, because there is not a number n which added to its sum of digits gives 2304224000.
It is not an unprimeable number, because it can be changed into a prime (2304224003) 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 31 ways as a sum of consecutive naturals, for example, 12063905 + ... + 12064095.
It is an arithmetic number, because the mean of its divisors is an integer number (22320480).
Almost surely, 22304224000 is an apocalyptic number.
2304224000 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 2304224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).
2304224000 is an abundant number, since it is smaller than the sum of its proper divisors (4124074240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2304224000 is a wasteful number, since it uses less digits than its factorization.
2304224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 264 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 2304224000 is about 48002.3332766231. Note that the first 3 decimals coincide. The cubic root of 2304224000 is about 1320.8137009314.
Adding to 2304224000 its reverse (4224032), we get a palindrome (2308448032).
The spelling of 2304224000 in words is "two billion, three hundred four million, two hundred twenty-four thousand".
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