2228000 has 48 divisors (see below), whose sum is σ = 5484024. Its totient is φ = 889600.

The previous prime is 2227963. The next prime is 2228011. The reversal of 2228000 is 8222.

2228000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 1993744 = 484^2 + 1412^2 .

It is an unprimeable number.

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, 3722 + ... + 4278.

2^2228000 is an apocalyptic number.

2228000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742012).

2228000 is an abundant number, since it is smaller than the sum of its proper divisors (3256024).

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

2228000 is an equidigital number, since it uses as much as digits as its factorization.

2228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2228000 is about 1492.6486525636. The cubic root of 2228000 is about 130.6085863399.

The spelling of 2228000 in words is "two million, two hundred twenty-eight thousand".