224404000 has 48 divisors (see below), whose sum is σ = 551370456. Its totient is φ = 89760000.

The previous prime is 224403997. The next prime is 224404013. The reversal of 224404000 is 404422.

It can be written as a sum of positive squares in 4 ways, for example, as 81649296 + 142754704 = 9036^2 + 11948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24051 + ... + 32050.

Almost surely, 2^224404000 is an apocalyptic number.

224404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224404000 is an abundant number, since it is smaller than the sum of its proper divisors (326966456).

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

224404000 is an equidigital number, since it uses as much as digits as its factorization.

224404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56126 (or 56108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224404000 is about 14980.1201597317. The cubic root of 224404000 is about 607.6826887659.

Adding to 224404000 its reverse (404422), we get a palindrome (224808422).

The spelling of 224404000 in words is "two hundred twenty-four million, four hundred four thousand".