221536000 has 288 divisors, whose sum is σ = 673440768. Its totient is φ = 70963200.

The previous prime is 221535971. The next prime is 221536039. The reversal of 221536000 is 635122.

It is a happy number.

221536000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5151979 + ... + 5152021.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^221536000 is an apocalyptic number.

221536000 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 221536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336720384).

221536000 is an abundant number, since it is smaller than the sum of its proper divisors (451904768).

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

221536000 is an equidigital number, since it uses as much as digits as its factorization.

221536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 221536000 is about 14884.0854606523. The cubic root of 221536000 is about 605.0827471457.

The spelling of 221536000 in words is "two hundred twenty-one million, five hundred thirty-six thousand".