Base | Representation |
---|---|
bin | 11001110111011… |
… | …11111001100000 |
3 | 120010022012100000 |
4 | 30323233321200 |
5 | 421022124110 |
6 | 33310500000 |
7 | 5243243544 |
oct | 1473577140 |
9 | 503265300 |
10 | 216989280 |
11 | 101537292 |
12 | 60804600 |
13 | 35c55231 |
14 | 20b65a24 |
15 | 140b31c0 |
hex | ceefe60 |
216989280 has 144 divisors (see below), whose sum is σ = 768038544. Its totient is φ = 57853440.
The previous prime is 216989273. The next prime is 216989287. The reversal of 216989280 is 82989612.
It is an interprime number because it is at equal distance from previous prime (216989273) and next prime (216989287).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (216989287) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36090 + ... + 41670.
It is an arithmetic number, because the mean of its divisors is an integer number (5333601).
Almost surely, 2216989280 is an apocalyptic number.
216989280 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 216989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384019272).
216989280 is an abundant number, since it is smaller than the sum of its proper divisors (551049264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216989280 is an equidigital number, since it uses as much as digits as its factorization.
216989280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5611 (or 5591 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 45.
The square root of 216989280 is about 14730.5559976533. Note that the first 3 decimals coincide. The cubic root of 216989280 is about 600.9146051207.
The spelling of 216989280 in words is "two hundred sixteen million, nine hundred eighty-nine thousand, two hundred eighty".
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