224427520 has 80 divisors (see below), whose sum is σ = 556839360. Its totient is φ = 86646784.

The previous prime is 224427517. The next prime is 224427529. The reversal of 224427520 is 25724422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224427529) 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 7 ways as a sum of consecutive naturals, for example, 72729 + ... + 75751.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492).

Almost surely, 2^224427520 is an apocalyptic number.

224427520 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 224427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278419680).

224427520 is an abundant number, since it is smaller than the sum of its proper divisors (332411840).

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

224427520 is an equidigital number, since it uses as much as digits as its factorization.

224427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 224427520 is about 14980.9051795945. The cubic root of 224427520 is about 607.7039186274.

The spelling of 224427520 in words is "two hundred twenty-four million, four hundred twenty-seven thousand, five hundred twenty".