221223475200 has 2304 divisors, whose sum is σ = 1023684480000. Its totient is φ = 41617981440.

The previous prime is 221223475199. The next prime is 221223475211. The reversal of 221223475200 is 2574322122.

221223475200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11643340791 + ... + 11643340809.

It is an arithmetic number, because the mean of its divisors is an integer number (444307500).

Almost surely, 2^221223475200 is an apocalyptic number.

221223475200 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 221223475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240000).

221223475200 is an abundant number, since it is smaller than the sum of its proper divisors (802461004800).

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

221223475200 is a wasteful number, since it uses less digits than its factorization.

221223475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 221223475200 its reverse (2574322122), we get a palindrome (223797797322).

The spelling of 221223475200 in words is "two hundred twenty-one billion, two hundred twenty-three million, four hundred seventy-five thousand, two hundred".