224000128 has 64 divisors (see below), whose sum is σ = 508057920. Its totient is φ = 97377280.

The previous prime is 224000111. The next prime is 224000129. The reversal of 224000128 is 821000422.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (224000129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28926 + ... + 35842.

It is an arithmetic number, because the mean of its divisors is an integer number (7938405).

Almost surely, 2^224000128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254028960).

224000128 is an abundant number, since it is smaller than the sum of its proper divisors (284057792).

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

224000128 is a wasteful number, since it uses less digits than its factorization.

224000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 224000128 is about 14966.6338232750. The cubic root of 224000128 is about 607.3179100547.

The spelling of 224000128 in words is "two hundred twenty-four million, one hundred twenty-eight", and thus it is an aban number.