221533984 has 48 divisors (see below), whose sum is σ = 499455936. Its totient is φ = 94752000.

The previous prime is 221533981. The next prime is 221533993. The reversal of 221533984 is 489335122.

It is not an unprimeable number, because it can be changed into a prime (221533981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210259 + ... + 211309.

It is an arithmetic number, because the mean of its divisors is an integer number (10405332).

Almost surely, 2^221533984 is an apocalyptic number.

It is an amenable number.

221533984 is an abundant number, since it is smaller than the sum of its proper divisors (277921952).

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

221533984 is a wasteful number, since it uses less digits than its factorization.

221533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2001 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 221533984 is about 14884.0177371569. The cubic root of 221533984 is about 605.0809117020.

The spelling of 221533984 in words is "two hundred twenty-one million, five hundred thirty-three thousand, nine hundred eighty-four".