221998752 has 96 divisors (see below), whose sum is σ = 654998400. Its totient is φ = 73142784.

The previous prime is 221998639. The next prime is 221998787. The reversal of 221998752 is 257899122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 221998698 and 221998707.

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, 75453 + ... + 78339.

It is an arithmetic number, because the mean of its divisors is an integer number (6822900).

Almost surely, 2^221998752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

221998752 is an abundant number, since it is smaller than the sum of its proper divisors (432999648).

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

221998752 is a wasteful number, since it uses less digits than its factorization.

221998752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2981 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 221998752 is about 14899.6225455546. The cubic root of 221998752 is about 605.5037600092.

The spelling of 221998752 in words is "two hundred twenty-one million, nine hundred ninety-eight thousand, seven hundred fifty-two".