224224240 has 80 divisors (see below), whose sum is σ = 561678336. Its totient is φ = 83001600.

The previous prime is 224224229. The next prime is 224224261. The reversal of 224224240 is 42422422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 55075 + ... + 59005.

Almost surely, 2^224224240 is an apocalyptic number.

224224240 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 224224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280839168).

224224240 is an abundant number, since it is smaller than the sum of its proper divisors (337454096).

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

224224240 is a wasteful number, since it uses less digits than its factorization.

224224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 224224240 is about 14974.1190058046. The cubic root of 224224240 is about 607.5203829523.

Adding to 224224240 its reverse (42422422), we get a palindrome (266646662).

It can be divided in two parts, 22422 and 4240, that added together give a palindrome (26662).

The spelling of 224224240 in words is "two hundred twenty-four million, two hundred twenty-four thousand, two hundred forty".