2232200313200 has 240 divisors, whose sum is σ = 6362821315872. Its totient is φ = 741849600000.

The previous prime is 2232200313097. The next prime is 2232200313221. The reversal of 2232200313200 is 23130022322.

It is a super-3 number, since 3×2232200313200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5584010 + ... + 5970390.

Almost surely, 2^{2232200313200} is an apocalyptic number.

2232200313200 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 2232200313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181410657936).

2232200313200 is an abundant number, since it is smaller than the sum of its proper divisors (4130621002672).

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

2232200313200 is a wasteful number, since it uses less digits than its factorization.

2232200313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386524 (or 386513 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2232200313200 its reverse (23130022322), we get a palindrome (2255330335522).

The spelling of 2232200313200 in words is "two trillion, two hundred thirty-two billion, two hundred million, three hundred thirteen thousand, two hundred".