2232133200 has 300 divisors, whose sum is σ = 8740610208. Its totient is φ = 541036800.

The previous prime is 2232133199. The next prime is 2232133223. The reversal of 2232133200 is 23312322.

It is a happy number.

2232133200 is a `hidden beast` number, since 22 + 321 + 3 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×2232133200³ (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 353269 + ... + 359531.

Almost surely, 2^2232133200 is an apocalyptic number.

2232133200 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 2232133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370305104).

2232133200 is an abundant number, since it is smaller than the sum of its proper divisors (6508477008).

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

2232133200 is a wasteful number, since it uses less digits than its factorization.

2232133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2232133200 is about 47245.4569244494. The cubic root of 2232133200 is about 1306.8930117174.

Adding to 2232133200 its reverse (23312322), we get a palindrome (2255445522).

The spelling of 2232133200 in words is "two billion, two hundred thirty-two million, one hundred thirty-three thousand, two hundred".