2232112320 has 168 divisors, whose sum is σ = 7885413744. Its totient is φ = 579115008.

The previous prime is 2232112319. The next prime is 2232112321. The reversal of 2232112320 is 232112322.

2232112320 is a `hidden beast` number, since 2 + 232 + 112 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2232112319) and next prime (2232112321).

It is a super-3 number, since 3×2232112320³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232112293 and 2232112302.

It is not an unprimeable number, because it can be changed into a prime (2232112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96087 + ... + 117033.

Almost surely, 2^2232112320 is an apocalyptic number.

2232112320 is a gapful number since it is divisible by the number (20) 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 2232112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942706872).

2232112320 is an abundant number, since it is smaller than the sum of its proper divisors (5653301424).

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

2232112320 is a wasteful number, since it uses less digits than its factorization.

2232112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21007 (or 20994 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232112320 is about 47245.2359503051. The cubic root of 2232112320 is about 1306.8889366901. Note that the first 3 decimals are identical.

Adding to 2232112320 its reverse (232112322), we get a palindrome (2464224642).

The spelling of 2232112320 in words is "two billion, two hundred thirty-two million, one hundred twelve thousand, three hundred twenty".