224244240 has 240 divisors, whose sum is σ = 793181376. Its totient is φ = 51968000.

The previous prime is 224244233. The next prime is 224244257. The reversal of 224244240 is 42442422.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 224244240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220190 + ... + 2220290.

Almost surely, 2^224244240 is an apocalyptic number.

224244240 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 224244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396590688).

224244240 is an abundant number, since it is smaller than the sum of its proper divisors (568937136).

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

224244240 is a wasteful number, since it uses less digits than its factorization.

224244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 224244240 is about 14974.7868098347. The cubic root of 224244240 is about 607.5384452968.

Adding to 224244240 its reverse (42442422), we get a palindrome (266686662).

It can be divided in two parts, 2 and 24244240, that added together give a palindrome (24244242).

The spelling of 224244240 in words is "two hundred twenty-four million, two hundred forty-four thousand, two hundred forty".