224322144 has 48 divisors (see below), whose sum is σ = 590542848. Its totient is φ = 74558592.

The previous prime is 224322143. The next prime is 224322149. The reversal of 224322144 is 441223422.

224322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224322143) 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, 32049 + ... + 38415.

It is an arithmetic number, because the mean of its divisors is an integer number (12302976).

Almost surely, 2^224322144 is an apocalyptic number.

224322144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224322144 is an abundant number, since it is smaller than the sum of its proper divisors (366220704).

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

224322144 is a wasteful number, since it uses less digits than its factorization.

224322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6739 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 224322144 is about 14977.3877562144. The cubic root of 224322144 is about 607.6087915039.

Adding to 224322144 its reverse (441223422), we get a palindrome (665545566).

The spelling of 224322144 in words is "two hundred twenty-four million, three hundred twenty-two thousand, one hundred forty-four".