| Base | Representation |
|---|---|
| bin | 1101100111010001111… |
| … | …0010001111110000000 |
| 3 | 211100200122212100000000 |
| 4 | 3121310132101332000 |
| 5 | 12312442334011320 |
| 6 | 255235530000000 |
| 7 | 22616551665120 |
| oct | 3316436217600 |
| 9 | 740618770000 |
| 10 | 233882328960 |
| 11 | 90209528465 |
| 12 | 393b2876000 |
| 13 | 19093b15b37 |
| 14 | b469dacc80 |
| 15 | 613cd2cc90 |
| hex | 3674791f80 |
233882328960 has 1152 divisors, whose sum is σ = 980494257600. Its totient is φ = 52242776064.
The previous prime is 233882328941. The next prime is 233882328971. The reversal of 233882328960 is 69823288332.
233882328960 is a `hidden beast` number, since 2 + 338 + 8 + 23 + 289 + 6 + 0 = 666.
233882328960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 233882328897 and 233882328906.
It is a congruent number.
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 143 ways as a sum of consecutive naturals, for example, 2145709386 + ... + 2145709494.
Almost surely, 2233882328960 is an apocalyptic number.
233882328960 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 233882328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490247128800).
233882328960 is an abundant number, since it is smaller than the sum of its proper divisors (746611928640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233882328960 is an frugal number, since it uses more digits than its factorization.
233882328960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 199 counting only the distinct ones).
The product of its (nonzero) digits is 5971968, while the sum is 54.
The spelling of 233882328960 in words is "two hundred thirty-three billion, eight hundred eighty-two million, three hundred twenty-eight thousand, nine hundred sixty".
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