2224133928 has 48 divisors (see below), whose sum is σ = 6083356500. Its totient is φ = 734035200.

The previous prime is 2224133903. The next prime is 2224133963. The reversal of 2224133928 is 8293314222.

2224133928 is a `hidden beast` number, since 22 + 241 + 3 + 392 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2203175844 + 20958084 = 46938^2 + 4578^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2224133892 and 2224133901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145653 + ... + 160196.

Almost surely, 2^2224133928 is an apocalyptic number.

It is an amenable number.

2224133928 is an abundant number, since it is smaller than the sum of its proper divisors (3859222572).

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

2224133928 is a wasteful number, since it uses less digits than its factorization.

2224133928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305962 (or 305955 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2224133928 is about 47160.7244219170. The cubic root of 2224133928 is about 1305.3299768902.

It can be divided in two parts, 22241 and 33928, that added together give a square (56169 = 237²).

The spelling of 2224133928 in words is "two billion, two hundred twenty-four million, one hundred thirty-three thousand, nine hundred twenty-eight".