224302144 has 112 divisors (see below), whose sum is σ = 524865600. Its totient is φ = 94003200.

The previous prime is 224302051. The next prime is 224302159. The reversal of 224302144 is 441203422.

It is a happy number.

224302144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224302144² = 100622903605993472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 548212 + ... + 548620.

It is an arithmetic number, because the mean of its divisors is an integer number (4686300).

Almost surely, 2^224302144 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 224302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262432800).

224302144 is an abundant number, since it is smaller than the sum of its proper divisors (300563456).

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

224302144 is a wasteful number, since it uses less digits than its factorization.

224302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 224302144 is about 14976.7200681591. The cubic root of 224302144 is about 607.5907333416.

Adding to 224302144 its reverse (441203422), we get a palindrome (665505566).

The spelling of 224302144 in words is "two hundred twenty-four million, three hundred two thousand, one hundred forty-four".