| Base | Representation |
|---|---|
| bin | 1101111001111010001… |
| … | …1111011100000000000 |
| 3 | 211211121012022002102000 |
| 4 | 3132132203323200000 |
| 5 | 12403213123421120 |
| 6 | 301424100424000 |
| 7 | 23154516366000 |
| oct | 3363643734000 |
| 9 | 754535262360 |
| 10 | 238883420160 |
| 11 | 92345510290 |
| 12 | 3a3696a8000 |
| 13 | 196acc672b8 |
| 14 | b7c2276000 |
| 15 | 6331dec990 |
| hex | 379e8fb800 |
238883420160 has 1536 divisors, whose sum is σ = 1085011200000. Its totient is φ = 49421352960.
The previous prime is 238883420143. The next prime is 238883420189. The reversal of 238883420160 is 61024388832.
238883420160 is a `hidden beast` number, since 2 + 388 + 8 + 3 + 4 + 201 + 60 = 666.
238883420160 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 tau number, because it is divible by the number of its divisors (1536).
It is a Harshad number since it is a multiple of its sum of digits (45).
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 127 ways as a sum of consecutive naturals, for example, 1043158926 + ... + 1043159154.
It is an arithmetic number, because the mean of its divisors is an integer number (706387500).
Almost surely, 2238883420160 is an apocalyptic number.
238883420160 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 238883420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542505600000).
238883420160 is an abundant number, since it is smaller than the sum of its proper divisors (846127779840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238883420160 is a wasteful number, since it uses less digits than its factorization.
238883420160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297 (or 257 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The spelling of 238883420160 in words is "two hundred thirty-eight billion, eight hundred eighty-three million, four hundred twenty thousand, one hundred sixty".
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