221798304 has 432 divisors, whose sum is σ = 841155840. Its totient is φ = 56609280.

The previous prime is 221798281. The next prime is 221798329. The reversal of 221798304 is 403897122.

221798304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7154769 + ... + 7154799.

It is an arithmetic number, because the mean of its divisors is an integer number (1947120).

Almost surely, 2^221798304 is an apocalyptic number.

221798304 is a gapful number since it is divisible by the number (24) 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 221798304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420577920).

221798304 is an abundant number, since it is smaller than the sum of its proper divisors (619357536).

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

221798304 is a wasteful number, since it uses less digits than its factorization.

221798304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 221798304 is about 14892.8944131086. The cubic root of 221798304 is about 605.3214638404.

The spelling of 221798304 in words is "two hundred twenty-one million, seven hundred ninety-eight thousand, three hundred four".