2232613200 has 120 divisors (see below), whose sum is σ = 7172135200. Its totient is φ = 593671680.

The previous prime is 2232613177. The next prime is 2232613217. The reversal of 2232613200 is 23162322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2232613200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 452346 + ... + 457254.

Almost surely, 2^2232613200 is an apocalyptic number.

2232613200 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 2232613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586067600).

2232613200 is an abundant number, since it is smaller than the sum of its proper divisors (4939522000).

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

2232613200 is a wasteful number, since it uses less digits than its factorization.

2232613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2232613200 is about 47250.5365048906. The cubic root of 2232613200 is about 1306.9866834996.

Adding to 2232613200 its reverse (23162322), we get a palindrome (2255775522).

The spelling of 2232613200 in words is "two billion, two hundred thirty-two million, six hundred thirteen thousand, two hundred".