| Base | Representation |
|---|---|
| bin | 11001110101110… |
| … | …00000010110100 |
| 3 | 120002212120111200 |
| 4 | 30322320002310 |
| 5 | 420442314000 |
| 6 | 33301532500 |
| 7 | 5241301545 |
| oct | 1472700264 |
| 9 | 502776450 |
| 10 | 216760500 |
| 11 | 1013a0410 |
| 12 | 60714130 |
| 13 | 35ba5068 |
| 14 | 20b064cc |
| 15 | 1406a500 |
| hex | ceb80b4 |
216760500 has 288 divisors, whose sum is σ = 776805120. Its totient is φ = 50400000.
The previous prime is 216760499. The next prime is 216760501. The reversal of 216760500 is 5067612.
216760500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (216760499) and next prime (216760501).
It is a super-2 number, since 2×2167605002 = 93970228720500000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (216760501) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1435425 + ... + 1435575.
It is an arithmetic number, because the mean of its divisors is an integer number (2697240).
Almost surely, 2216760500 is an apocalyptic number.
216760500 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 216760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388402560).
216760500 is an abundant number, since it is smaller than the sum of its proper divisors (560044620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216760500 is a wasteful number, since it uses less digits than its factorization.
216760500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 216 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 216760500 is about 14722.7884587126. The cubic root of 216760500 is about 600.7033418615.
The spelling of 216760500 in words is "two hundred sixteen million, seven hundred sixty thousand, five hundred".
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