2232220033200 has 120 divisors (see below), whose sum is σ = 7151578841088. Its totient is φ = 595172599040.

The previous prime is 2232220033193. The next prime is 2232220033207. The reversal of 2232220033200 is 23300222322.

It is an interprime number because it is at equal distance from previous prime (2232220033193) and next prime (2232220033207).

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

It is a super-3 number, since 3×2232220033200³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232220033207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8392657 + ... + 8654543.

Almost surely, 2^{2232220033200} is an apocalyptic number.

2232220033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232220033200 is an abundant number, since it is smaller than the sum of its proper divisors (4919358807888).

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

2232220033200 is a wasteful number, since it uses less digits than its factorization.

2232220033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269011 (or 269000 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 2232220033200 its reverse (23300222322), we get a palindrome (2255520255522).

The spelling of 2232220033200 in words is "two trillion, two hundred thirty-two billion, two hundred twenty million, thirty-three thousand, two hundred".