2228352 has 64 divisors (see below), whose sum is σ = 6772800. Its totient is φ = 635904.

The previous prime is 2228351. The next prime is 2228383. The reversal of 2228352 is 2538222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2 + 2⁵ + 2¹⁷ + 8 + 3⁴ + 5 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2228351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2274 + ... + 3102.

It is an arithmetic number, because the mean of its divisors is an integer number (105825).

2^2228352 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 2228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386400).

2228352 is an abundant number, since it is smaller than the sum of its proper divisors (4544448).

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

2228352 is an equidigital number, since it uses as much as digits as its factorization.

2228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2228352 is about 1492.7665591110. The cubic root of 2228352 is about 130.6154642276.

The spelling of 2228352 in words is "two million, two hundred twenty-eight thousand, three hundred fifty-two".