221841984 has 112 divisors (see below), whose sum is σ = 722465408. Its totient is φ = 58503168.

The previous prime is 221841953. The next prime is 221842003. The reversal of 221841984 is 489148122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11124 + ... + 23820.

It is an arithmetic number, because the mean of its divisors is an integer number (6450584).

Almost surely, 2^221841984 is an apocalyptic number.

221841984 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 221841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361232704).

221841984 is an abundant number, since it is smaller than the sum of its proper divisors (500623424).

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

221841984 is a wasteful number, since it uses less digits than its factorization.

221841984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12722 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 221841984 is about 14894.3608120658. The cubic root of 221841984 is about 605.3611976970.

The spelling of 221841984 in words is "two hundred twenty-one million, eight hundred forty-one thousand, nine hundred eighty-four".