| Base | Representation |
|---|---|
| bin | 1100100000000000111… |
| … | …1010101010000000000 |
| 3 | 202112022110111102220000 |
| 4 | 3020000033111100000 |
| 5 | 12004303102242000 |
| 6 | 242353400520000 |
| 7 | 21341523100620 |
| oct | 3100017252000 |
| 9 | 675273442800 |
| 10 | 214752384000 |
| 11 | 830921386a0 |
| 12 | 35754180000 |
| 13 | 1733577b98b |
| 14 | a57348a880 |
| 15 | 58bd676000 |
| hex | 32003d5400 |
214752384000 has 1760 divisors, whose sum is σ = 1001527338240. Its totient is φ = 44457984000.
The previous prime is 214752383971. The next prime is 214752384013. The reversal of 214752384000 is 483257412.
It is a happy number.
214752384000 is a `hidden beast` number, since 2 + 14 + 7 + 5 + 238 + 400 + 0 = 666.
214752384000 is digitally balanced in base 3, 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 (1760).
It is a super-2 number, since 2×2147523840002 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 798335866 + ... + 798336134.
It is an arithmetic number, because the mean of its divisors is an integer number (569049624).
Almost surely, 2214752384000 is an apocalyptic number.
214752384000 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 214752384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500763669120).
214752384000 is an abundant number, since it is smaller than the sum of its proper divisors (786774954240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214752384000 is a wasteful number, since it uses less digits than its factorization.
214752384000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 334 (or 297 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The spelling of 214752384000 in words is "two hundred fourteen billion, seven hundred fifty-two million, three hundred eighty-four thousand".
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