224044704 has 240 divisors, whose sum is σ = 727844040. Its totient is φ = 67184640.

The previous prime is 224044699. The next prime is 224044729. The reversal of 224044704 is 407440422.

224044704 is digitally balanced in base 3, 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 4 ways, for example, as 111260304 + 112784400 = 10548^2 + 10620^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2055402 + ... + 2055510.

Almost surely, 2^224044704 is an apocalyptic number.

224044704 is a gapful number since it is divisible by the number (24) 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 224044704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363922020).

224044704 is an abundant number, since it is smaller than the sum of its proper divisors (503799336).

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

224044704 is a wasteful number, since it uses less digits than its factorization.

224044704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 224044704 is about 14968.1229284102. The cubic root of 224044704 is about 607.3581927811.

The spelling of 224044704 in words is "two hundred twenty-four million, forty-four thousand, seven hundred four".