| Base | Representation |
|---|---|
| bin | 11001110101101… |
| … | …10110001010000 |
| 3 | 120002212022100100 |
| 4 | 30322312301100 |
| 5 | 420442132110 |
| 6 | 33301452400 |
| 7 | 5241250410 |
| oct | 1472666120 |
| 9 | 502768310 |
| 10 | 216755280 |
| 11 | 1013974a5 |
| 12 | 60711100 |
| 13 | 35ba2881 |
| 14 | 20b04640 |
| 15 | 14068bc0 |
| hex | ceb6c50 |
216755280 has 240 divisors, whose sum is σ = 861194880. Its totient is φ = 47803392.
The previous prime is 216755269. The next prime is 216755293. The reversal of 216755280 is 82557612.
It is a happy number.
216755280 is a `hidden beast` number, since 21 + 6 + 7 + 552 + 80 = 666.
216755280 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 (240).
It is a super-3 number, since 3×2167552803 (a number of 26 digits) contains 333 as substring.
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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145419 + ... + 146901.
It is an arithmetic number, because the mean of its divisors is an integer number (3588312).
Almost surely, 2216755280 is an apocalyptic number.
216755280 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 216755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430597440).
216755280 is an abundant number, since it is smaller than the sum of its proper divisors (644439600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216755280 is a wasteful number, since it uses less digits than its factorization.
216755280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1538 (or 1529 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 216755280 is about 14722.6111814447. The cubic root of 216755280 is about 600.6985198012.
The spelling of 216755280 in words is "two hundred sixteen million, seven hundred fifty-five thousand, two hundred eighty".
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