2233248 has 48 divisors (see below), whose sum is σ = 6009696. Its totient is φ = 725760.

The previous prime is 2233247. The next prime is 2233267. The reversal of 2233248 is 8423322.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is not an unprimeable number, because it can be changed into a prime (2233243) 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 7 ways as a sum of consecutive naturals, for example, 3858 + ... + 4398.

It is an arithmetic number, because the mean of its divisors is an integer number (125202).

2^2233248 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 2233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004848).

2233248 is an abundant number, since it is smaller than the sum of its proper divisors (3776448).

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

2233248 is a wasteful number, since it uses less digits than its factorization.

2233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2233248 is about 1494.4055674414. The cubic root of 2233248 is about 130.7110543815.

The spelling of 2233248 in words is "two million, two hundred thirty-three thousand, two hundred forty-eight".