Base | Representation |
---|---|
bin | 111101111000… |
… | …011100100000 |
3 | 1010112011101020 |
4 | 331320130200 |
5 | 13123100414 |
6 | 1335405440 |
7 | 254612262 |
oct | 75703440 |
9 | 33464336 |
10 | 16221984 |
11 | 917a8a9 |
12 | 5523880 |
13 | 348c90c |
14 | 2223b32 |
15 | 16567a9 |
hex | f78720 |
16221984 has 48 divisors (see below), whose sum is σ = 43743168. Its totient is φ = 5260032.
The previous prime is 16221983. The next prime is 16222001. The reversal of 16221984 is 48912261.
16221984 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 (48).
It is not an unprimeable number, because it can be changed into a prime (16221983) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269 + ... + 5835.
It is an arithmetic number, because the mean of its divisors is an integer number (911316).
Almost surely, 216221984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 16221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871584).
16221984 is an abundant number, since it is smaller than the sum of its proper divisors (27521184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16221984 is a wasteful number, since it uses less digits than its factorization.
16221984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4617 (or 4609 counting only the distinct ones).
The product of its digits is 6912, while the sum is 33.
The square root of 16221984 is about 4027.6524179725. The cubic root of 16221984 is about 253.1442047919.
It can be divided in two parts, 16221 and 984, that added together give a triangular number (17205 = T185).
The spelling of 16221984 in words is "sixteen million, two hundred twenty-one thousand, nine hundred eighty-four".
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