224009240 has 256 divisors, whose sum is σ = 677376000. Its totient is φ = 64696320.

The previous prime is 224009239. The next prime is 224009249. The reversal of 224009240 is 42900422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224009249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2835521 + ... + 2835599.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^224009240 is an apocalyptic number.

224009240 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 224009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

224009240 is an abundant number, since it is smaller than the sum of its proper divisors (453366760).

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

224009240 is a wasteful number, since it uses less digits than its factorization.

224009240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 224009240 is about 14966.9382306469. The cubic root of 224009240 is about 607.3261448800.

Adding to 224009240 its reverse (42900422), we get a palindrome (266909662).

The spelling of 224009240 in words is "two hundred twenty-four million, nine thousand, two hundred forty".