2232105200 has 120 divisors (see below), whose sum is σ = 5898664128. Its totient is φ = 806538240.

The previous prime is 2232105193. The next prime is 2232105203. The reversal of 2232105200 is 25012322.

It is a super-3 number, since 3×2232105200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232105203) by changing a digit.

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, 239834 + ... + 248966.

Almost surely, 2^2232105200 is an apocalyptic number.

2232105200 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 2232105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949332064).

2232105200 is an abundant number, since it is smaller than the sum of its proper divisors (3666558928).

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

2232105200 is a wasteful number, since it uses less digits than its factorization.

2232105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2232105200 is about 47245.1605987322. The cubic root of 2232105200 is about 1306.8875471156.

Adding to 2232105200 its reverse (25012322), we get a palindrome (2257117522).

The spelling of 2232105200 in words is "two billion, two hundred thirty-two million, one hundred five thousand, two hundred".