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2286844 = 227235367
BaseRepresentation
bin1000101110010011111100
311022011221221
420232103330
51041134334
6121003124
725303120
oct10562374
94264857
102286844
11132215a
129234a4
13620b81
14437580
153028b4
hex22e4fc

2286844 has 48 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 906048.

The previous prime is 2286841. The next prime is 2286847. The reversal of 2286844 is 4486822.

2286844 is digitally balanced in base 8, 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 (2286841) and next prime (2286847).

2286844 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34099 + ... + 34165.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

22286844 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 2286844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2286844 is an abundant number, since it is smaller than the sum of its proper divisors (2648324).

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

2286844 is a wasteful number, since it uses less digits than its factorization.

2286844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 2286844 is about 1512.2314637647. The cubic root of 2286844 is about 131.7484496095.

The spelling of 2286844 in words is "two million, two hundred eighty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 53 67 92 106 134 161 212 268 322 371 469 644 742 938 1219 1484 1541 1876 2438 3082 3551 4876 6164 7102 8533 10787 14204 17066 21574 24857 34132 43148 49714 81673 99428 163346 326692 571711 1143422 2286844