2228832 has 72 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 725760.

The previous prime is 2228813. The next prime is 2228867. The reversal of 2228832 is 2388222.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2228796 and 2228805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20394 + ... + 20502.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2228832 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 2228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2228832 is an abundant number, since it is smaller than the sum of its proper divisors (4257648).

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

2228832 is a wasteful number, since it uses less digits than its factorization.

2228832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2228832 is about 1492.9273257597. The cubic root of 2228832 is about 130.6248419982.

The spelling of 2228832 in words is "two million, two hundred twenty-eight thousand, eight hundred thirty-two".