2296224 has 144 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 608256.

The previous prime is 2296219. The next prime is 2296237. The reversal of 2296224 is 4226922.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an Ulam number.

Its product of digits (3456) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34239 + ... + 34305.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2^2296224 is an apocalyptic number.

2296224 is a gapful number since it is divisible by the number (24) 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 2296224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2296224 is an abundant number, since it is smaller than the sum of its proper divisors (5723424).

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

2296224 is a wasteful number, since it uses less digits than its factorization.

2296224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2296224 is about 1515.3296671022. The cubic root of 2296224 is about 131.9283357554.

The spelling of 2296224 in words is "two million, two hundred ninety-six thousand, two hundred twenty-four".