224048800 has 36 divisors (see below), whose sum is σ = 546961086. Its totient is φ = 89619200.

The previous prime is 224048777. The next prime is 224048813. The reversal of 224048800 is 8840422.

224048800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 183548304 + 40500496 = 13548^2 + 6364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139231 + ... + 140830.

Almost surely, 2^224048800 is an apocalyptic number.

224048800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224048800 is an abundant number, since it is smaller than the sum of its proper divisors (322912286).

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

224048800 is a wasteful number, since it uses less digits than its factorization.

224048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280081 (or 280068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 224048800 is about 14968.2597518883. The cubic root of 224048800 is about 607.3618940126.

It can be divided in two parts, 2240 and 48800, that added together give a triangular number (51040 = T₃₁₉).

The spelling of 224048800 in words is "two hundred twenty-four million, forty-eight thousand, eight hundred".