2286208 has 32 divisors (see below), whose sum is σ = 4654260. Its totient is φ = 1118208.

The previous prime is 2286203. The next prime is 2286233. The reversal of 2286208 is 8026822.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 64 = 1512^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2286203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6616 + ... + 6952.

2^2286208 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 2286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327130).

2286208 is an abundant number, since it is smaller than the sum of its proper divisors (2368052).

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

2286208 is an equidigital number, since it uses as much as digits as its factorization.

2286208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2286208 is about 1512.0211638730. The cubic root of 2286208 is about 131.7362348450.

The spelling of 2286208 in words is "two million, two hundred eighty-six thousand, two hundred eight".