2232188928 has 240 divisors, whose sum is σ = 6906799185. Its totient is φ = 718405632.

The previous prime is 2232188897. The next prime is 2232188941. The reversal of 2232188928 is 8298812322.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 2230861824 + 1327104 = 47232^2 + 1152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33408.

It is a super-3 number, since 3×2232188928³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 76972018 + ... + 76972046.

Almost surely, 2^2232188928 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 2232188928

2232188928 is an abundant number, since it is smaller than the sum of its proper divisors (4674610257).

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

2232188928 is an frugal number, since it uses more digits than its factorization.

2232188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2232188928 is about 47246.0466917604. The cubic root of 2232188928 is about 1306.9038877003.

The spelling of 2232188928 in words is "two billion, two hundred thirty-two million, one hundred eighty-eight thousand, nine hundred twenty-eight".