2224000 has 64 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 883200.

The previous prime is 2223983. The next prime is 2224009. The reversal of 2224000 is 4222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15931 + ... + 16069.

2^2224000 is an apocalyptic number.

2224000 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 2224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784600).

2224000 is an abundant number, since it is smaller than the sum of its proper divisors (3345200).

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

2224000 is an equidigital number, since it uses as much as digits as its factorization.

2224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2224000 is about 1491.3081505846. The cubic root of 2224000 is about 130.5303775869.

Adding to 2224000 its reverse (4222), we get a palindrome (2228222).

The spelling of 2224000 in words is "two million, two hundred twenty-four thousand".