223332132223200 has 3456 divisors, whose sum is σ = 1027508461249536. Its totient is φ = 41385738240000.

The previous prime is 223332132223183. The next prime is 223332132223201. The reversal of 223332132223200 is 2322231233322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223332132223201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 93955460412 + ... + 93955462788.

It is an arithmetic number, because the mean of its divisors is an integer number (297311476056).

Almost surely, 2^{223332132223200} is an apocalyptic number.

223332132223200 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 223332132223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513754230624768).

223332132223200 is an abundant number, since it is smaller than the sum of its proper divisors (804176329026336).

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

223332132223200 is a wasteful number, since it uses less digits than its factorization.

223332132223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 223332132223200 its reverse (2322231233322), we get a palindrome (225654363456522).

The spelling of 223332132223200 in words is "two hundred twenty-three trillion, three hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred".