224044128 has 144 divisors (see below), whose sum is σ = 794416896. Its totient is φ = 58187520.

The previous prime is 224044123. The next prime is 224044133. The reversal of 224044128 is 821440422.

224044128 is a `hidden beast` number, since 2 + 240 + 4 + 412 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (224044123) and next prime (224044133).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224044123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17125 + ... + 27227.

It is an arithmetic number, because the mean of its divisors is an integer number (5516784).

Almost surely, 2^224044128 is an apocalyptic number.

224044128 is a gapful number since it is divisible by the number (28) 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 224044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397208448).

224044128 is an abundant number, since it is smaller than the sum of its proper divisors (570372768).

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

224044128 is a wasteful number, since it uses less digits than its factorization.

224044128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10137 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 224044128 is about 14968.1036875083. The cubic root of 224044128 is about 607.3576722918.

The spelling of 224044128 in words is "two hundred twenty-four million, forty-four thousand, one hundred twenty-eight".