| Base | Representation |
|---|---|
| bin | 11001110100000… |
| … | …10100010001000 |
| 3 | 120002110102211220 |
| 4 | 30322002202020 |
| 5 | 420413310240 |
| 6 | 33253122040 |
| 7 | 5236366542 |
| oct | 1472024210 |
| 9 | 502412756 |
| 10 | 216541320 |
| 11 | 101260776 |
| 12 | 60629320 |
| 13 | 35b29378 |
| 14 | 20a8a692 |
| 15 | 140255d0 |
| hex | ce82888 |
216541320 has 128 divisors (see below), whose sum is σ = 688573440. Its totient is φ = 54362880.
The previous prime is 216541319. The next prime is 216541321. The reversal of 216541320 is 23145612.
216541320 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 (216541319) and next prime (216541321).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (216541321) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184335 + ... + 185505.
It is an arithmetic number, because the mean of its divisors is an integer number (5379480).
Almost surely, 2216541320 is an apocalyptic number.
216541320 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 216541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344286720).
216541320 is an abundant number, since it is smaller than the sum of its proper divisors (472032120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216541320 is a wasteful number, since it uses less digits than its factorization.
216541320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 216541320 is about 14715.3430133314. The cubic root of 216541320 is about 600.5008040980.
Adding to 216541320 its reverse (23145612), we get a palindrome (239686932).
The spelling of 216541320 in words is "two hundred sixteen million, five hundred forty-one thousand, three hundred twenty".
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