224238329928 has 36 divisors (see below), whose sum is σ = 607323026115. Its totient is φ = 74744770608.

The previous prime is 224238329899. The next prime is 224238329993. The reversal of 224238329928 is 829923832422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224238329928 is a `hidden beast` number, since 224 + 2 + 3 + 8 + 329 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112119164964 + 112119164964 = 334842^2 + 334842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334842.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3990201 + ... + 4046007.

Almost surely, 2^224238329928 is an apocalyptic number.

It is an amenable number.

224238329928 is an abundant number, since it is smaller than the sum of its proper divisors (383084696187).

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

224238329928 is an frugal number, since it uses more digits than its factorization.

224238329928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111626 (or 55812 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 224238329928 in words is "two hundred twenty-four billion, two hundred thirty-eight million, three hundred twenty-nine thousand, nine hundred twenty-eight".