221423421303200 has 288 divisors, whose sum is σ = 547534169320320. Its totient is φ = 87430919270400.

The previous prime is 221423421303197. The next prime is 221423421303209. The reversal of 221423421303200 is 2303124324122.

It is a super-2 number, since 2×221423421303200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221423421303209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40725290882 + ... + 40725296318.

It is an arithmetic number, because the mean of its divisors is an integer number (1901160310140).

Almost surely, 2^{221423421303200} is an apocalyptic number.

221423421303200 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 221423421303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273767084660160).

221423421303200 is an abundant number, since it is smaller than the sum of its proper divisors (326110748017120).

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

221423421303200 is a wasteful number, since it uses less digits than its factorization.

221423421303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 221423421303200 its reverse (2303124324122), we get a palindrome (223726545627322).

The spelling of 221423421303200 in words is "two hundred twenty-one trillion, four hundred twenty-three billion, four hundred twenty-one million, three hundred three thousand, two hundred".