2224416 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 659456.

The previous prime is 2224379. The next prime is 2224429. The reversal of 2224416 is 6144222.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2224392 and 2224401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47305 + ... + 47351.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2^2224416 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 2224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2224416 is an abundant number, since it is smaller than the sum of its proper divisors (4307424).

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

2224416 is a wasteful number, since it uses less digits than its factorization.

2224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2224416 is about 1491.4476189260. The cubic root of 2224416 is about 130.5385156642.

Adding to 2224416 its reverse (6144222), we get a palindrome (8368638).

The spelling of 2224416 in words is "two million, two hundred twenty-four thousand, four hundred sixteen".