224506240 has 96 divisors (see below), whose sum is σ = 624423600. Its totient is φ = 76962816.

The previous prime is 224506231. The next prime is 224506241. The reversal of 224506240 is 42605422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224506241) 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 11 ways as a sum of consecutive naturals, for example, 27781 + ... + 34939.

Almost surely, 2^224506240 is an apocalyptic number.

224506240 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 224506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312211800).

224506240 is an abundant number, since it is smaller than the sum of its proper divisors (399917360).

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

224506240 is an equidigital number, since it uses as much as digits as its factorization.

224506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 224506240 is about 14983.5322938218. The cubic root of 224506240 is about 607.7749628861.

The spelling of 224506240 in words is "two hundred twenty-four million, five hundred six thousand, two hundred forty".