221152000 has 72 divisors (see below), whose sum is σ = 550996992. Its totient is φ = 88448000.

The previous prime is 221151977. The next prime is 221152013. The reversal of 221152000 is 251122.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28545 + ... + 35455.

It is an arithmetic number, because the mean of its divisors is an integer number (7652736).

Almost surely, 2^221152000 is an apocalyptic number.

221152000 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 221152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496).

221152000 is an abundant number, since it is smaller than the sum of its proper divisors (329844992).

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

221152000 is an frugal number, since it uses more digits than its factorization.

221152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 221152000 is about 14871.1801818148. The cubic root of 221152000 is about 604.7329377038.

The spelling of 221152000 in words is "two hundred twenty-one million, one hundred fifty-two thousand".