221488800 has 288 divisors, whose sum is σ = 804948480. Its totient is φ = 52531200.

The previous prime is 221488783. The next prime is 221488807. The reversal of 221488800 is 8884122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221488807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 967086 + ... + 967314.

It is an arithmetic number, because the mean of its divisors is an integer number (2794960).

Almost surely, 2^221488800 is an apocalyptic number.

221488800 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 221488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402474240).

221488800 is an abundant number, since it is smaller than the sum of its proper divisors (583459680).

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

221488800 is a wasteful number, since it uses less digits than its factorization.

221488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 221488800 is about 14882.4997900218. The cubic root of 221488800 is about 605.0397715357.

The spelling of 221488800 in words is "two hundred twenty-one million, four hundred eighty-eight thousand, eight hundred".