221233304000 has 112 divisors (see below), whose sum is σ = 549258536736. Its totient is φ = 88271360000.

The previous prime is 221233303987. The next prime is 221233304021. The reversal of 221233304000 is 403332122.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3173519 + ... + 3242481.

It is an arithmetic number, because the mean of its divisors is an integer number (4904094078).

Almost surely, 2^221233304000 is an apocalyptic number.

221233304000 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 221233304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274629268368).

221233304000 is an abundant number, since it is smaller than the sum of its proper divisors (328025232736).

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

221233304000 is an equidigital number, since it uses as much as digits as its factorization.

221233304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69391 (or 69371 counting only the distinct ones).

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

Adding to 221233304000 its reverse (403332122), we get a palindrome (221636636122).

The spelling of 221233304000 in words is "two hundred twenty-one billion, two hundred thirty-three million, three hundred four thousand".