221993952000 has 288 divisors, whose sum is σ = 741274619904. Its totient is φ = 58883584000.

The previous prime is 221993951983. The next prime is 221993952007. The reversal of 221993952000 is 259399122.

It is not an unprimeable number, because it can be changed into a prime (221993952007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18329947 + ... + 18342053.

It is an arithmetic number, because the mean of its divisors is an integer number (2573870208).

Almost surely, 2^221993952000 is an apocalyptic number.

221993952000 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 221993952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370637309952).

221993952000 is an abundant number, since it is smaller than the sum of its proper divisors (519280667904).

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

221993952000 is a wasteful number, since it uses less digits than its factorization.

221993952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 221993952000 in words is "two hundred twenty-one billion, nine hundred ninety-three million, nine hundred fifty-two thousand".