224720000 has 120 divisors (see below), whose sum is σ = 570180765. Its totient is φ = 88192000.

The previous prime is 224719987. The next prime is 224720017. The reversal of 224720000 is 27422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 678976 + 224041024 = 824^2 + 14968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10600.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4239974 + ... + 4240026.

Almost surely, 2^224720000 is an apocalyptic number.

224720000 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 224720000

224720000 is an abundant number, since it is smaller than the sum of its proper divisors (345460765).

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

224720000 is an frugal number, since it uses more digits than its factorization.

224720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 224720000 is about 14990.6637611548. The cubic root of 224720000 is about 607.9677960782.

Adding to 224720000 its reverse (27422), we get a palindrome (224747422).

The spelling of 224720000 in words is "two hundred twenty-four million, seven hundred twenty thousand".