224424240 has 160 divisors (see below), whose sum is σ = 723763200. Its totient is φ = 57480192.

The previous prime is 224424223. The next prime is 224424241. The reversal of 224424240 is 42424422.

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 224424240.

It is not an unprimeable number, because it can be changed into a prime (224424241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127661 + ... + 1127859.

It is an arithmetic number, because the mean of its divisors is an integer number (4523520).

Almost surely, 2^224424240 is an apocalyptic number.

224424240 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 224424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361881600).

224424240 is an abundant number, since it is smaller than the sum of its proper divisors (499338960).

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

224424240 is a wasteful number, since it uses less digits than its factorization.

224424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

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

The square root of 224424240 is about 14980.7957065037. The cubic root of 224424240 is about 607.7009580895.

Adding to 224424240 its reverse (42424422), we get a palindrome (266848662).

The spelling of 224424240 in words is "two hundred twenty-four million, four hundred twenty-four thousand, two hundred forty".