| Base | Representation |
|---|---|
| bin | 1101011010100011010… |
| … | …0011011111010100000 |
| 3 | 211000212112122202011000 |
| 4 | 3112220310123322200 |
| 5 | 12233443142203200 |
| 6 | 253512513152000 |
| 7 | 22436103101643 |
| oct | 3265064337240 |
| 9 | 730775582130 |
| 10 | 230465584800 |
| 11 | 898158a5a60 |
| 12 | 387ba55b600 |
| 13 | 1896aca9829 |
| 14 | b2242c3a5a |
| 15 | 5edcdb9300 |
| hex | 35a8d1bea0 |
230465584800 has 576 divisors, whose sum is σ = 911341670400. Its totient is φ = 55744588800.
The previous prime is 230465584771. The next prime is 230465584813. The reversal of 230465584800 is 8485564032.
230465584800 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 65 + 584 + 8 + 0 + 0 = 666.
230465584800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2304655848002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147073617 + ... + 147075183.
It is an arithmetic number, because the mean of its divisors is an integer number (1582190400).
Almost surely, 2230465584800 is an apocalyptic number.
230465584800 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 230465584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455670835200).
230465584800 is an abundant number, since it is smaller than the sum of its proper divisors (680876085600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230465584800 is a wasteful number, since it uses less digits than its factorization.
230465584800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2226 (or 2207 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 45.
The spelling of 230465584800 in words is "two hundred thirty billion, four hundred sixty-five million, five hundred eighty-four thousand, eight hundred".
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