2224400 has 60 divisors (see below), whose sum is σ = 5489232. Its totient is φ = 865920.

The previous prime is 2224379. The next prime is 2224429. The reversal of 2224400 is 44222.

It is a happy number.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26759 + ... + 26841.

2^2224400 is an apocalyptic number.

2224400 is a gapful number since it is divisible by the number (20) 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 2224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744616).

2224400 is an abundant number, since it is smaller than the sum of its proper divisors (3264832).

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

2224400 is a wasteful number, since it uses less digits than its factorization.

2224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2224400 is about 1491.4422550002. The cubic root of 2224400 is about 130.5382026800.

Adding to 2224400 its reverse (44222), we get a palindrome (2268622).

The spelling of 2224400 in words is "two million, two hundred twenty-four thousand, four hundred".