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2286016 = 26231553
BaseRepresentation
bin1000101110000111000000
311022010211021
420232013000
51041123031
6120555224
725300525
oct10560700
94263737
102286016
111321577
12922b14
13620695
1443714c
15302511
hex22e1c0

2286016 has 28 divisors (see below), whose sum is σ = 4736592. Its totient is φ = 1092608.

The previous prime is 2286013. The next prime is 2286017. The reversal of 2286016 is 6106822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 696 + ... + 2248.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

22286016 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 2286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368296).

2286016 is an abundant number, since it is smaller than the sum of its proper divisors (2450576).

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

2286016 is a wasteful number, since it uses less digits than its factorization.

2286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2286016 is about 1511.9576713652. The cubic root of 2286016 is about 131.7325469237.

The spelling of 2286016 in words is "two million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 1553 3106 6212 12424 24848 35719 49696 71438 99392 142876 285752 571504 1143008 2286016