Base | Representation |
---|---|
bin | 1000101101101010111000 |
3 | 11022001100121 |
4 | 20231222320 |
5 | 1041043331 |
6 | 120543024 |
7 | 25262344 |
oct | 10555270 |
9 | 4261317 |
10 | 2284216 |
11 | 1320190 |
12 | 921a74 |
13 | 61c90c |
14 | 436624 |
15 | 301c11 |
hex | 22dab8 |
2284216 has 32 divisors (see below), whose sum is σ = 4736880. Its totient is φ = 1024000.
The previous prime is 2284213. The next prime is 2284223. The reversal of 2284216 is 6124822.
It is a happy number.
2284216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2284211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8760 + ... + 9016.
22284216 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 2284216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368440).
2284216 is an abundant number, since it is smaller than the sum of its proper divisors (2452664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2284216 is a wasteful number, since it uses less digits than its factorization.
2284216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 375 (or 371 counting only the distinct ones).
The product of its digits is 1536, while the sum is 25.
The square root of 2284216 is about 1511.3622993842. The cubic root of 2284216 is about 131.6979626153.
Subtracting 2284216 from its reverse (6124822), we obtain a triangular number (3840606 = T2771).
It can be divided in two parts, 2284 and 216, that added together give a square (2500 = 502).
The spelling of 2284216 in words is "two million, two hundred eighty-four thousand, two hundred sixteen".
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