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2284016 = 24720393
BaseRepresentation
bin1000101101100111110000
311022001002012
420231213300
51041042031
6120542052
725261640
oct10554760
94261065
102284016
111320019
12921928
1361c7b7
14436520
15301b2b
hex22d9f0

2284016 has 20 divisors (see below), whose sum is σ = 5057712. Its totient is φ = 978816.

The previous prime is 2284013. The next prime is 2284019. The reversal of 2284016 is 6104822.

2284016 is digitally balanced in base 2, 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 (2284013) and next prime (2284019).

It is a junction number, because it is equal to n+sod(n) for n = 2283982 and 2284000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284013) 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 3 ways as a sum of consecutive naturals, for example, 10085 + ... + 10308.

22284016 is an apocalyptic number.

It is an amenable number.

2284016 is an abundant number, since it is smaller than the sum of its proper divisors (2773696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2284016 is a wasteful number, since it uses less digits than its factorization.

2284016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20408 (or 20402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2284016 is about 1511.2961324638. The cubic root of 2284016 is about 131.6941187930.

Adding to 2284016 its reverse (6104822), we get a palindrome (8388838).

The spelling of 2284016 in words is "two million, two hundred eighty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 20393 40786 81572 142751 163144 285502 326288 571004 1142008 2284016