2228864 has 32 divisors (see below), whose sum is σ = 4847040. Its totient is φ = 1012480.

The previous prime is 2228813. The next prime is 2228867. The reversal of 2228864 is 4688222.

It is a happy number.

2228864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁴ + 2¹⁹ + 8² + 8² + 6⁸ + 4⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 2228864.

It is not an unprimeable number, because it can be changed into a prime (2228867) 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, 617 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

2^2228864 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 2228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423520).

2228864 is an abundant number, since it is smaller than the sum of its proper divisors (2618176).

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

2228864 is a wasteful number, since it uses less digits than its factorization.

2228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 2228864 is about 1492.9380429207. The cubic root of 2228864 is about 130.6254671351.

The spelling of 2228864 in words is "two million, two hundred twenty-eight thousand, eight hundred sixty-four".