224013144 has 64 divisors (see below), whose sum is σ = 577779840. Its totient is φ = 72334080.

The previous prime is 224013113. The next prime is 224013151. The reversal of 224013144 is 441310422.

224013144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224013144.

It is a congruent number.

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, 134364 + ... + 136020.

It is an arithmetic number, because the mean of its divisors is an integer number (9027810).

Almost surely, 2^224013144 is an apocalyptic number.

224013144 is a gapful number since it is divisible by the number (24) 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 224013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288889920).

224013144 is an abundant number, since it is smaller than the sum of its proper divisors (353766696).

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

224013144 is a wasteful number, since it uses less digits than its factorization.

224013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1836 counting only the distinct ones).

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

The square root of 224013144 is about 14967.0686508748. The cubic root of 224013144 is about 607.3296729897.

Adding to 224013144 its reverse (441310422), we get a palindrome (665323566).

The spelling of 224013144 in words is "two hundred twenty-four million, thirteen thousand, one hundred forty-four".