221116752 has 60 divisors (see below), whose sum is σ = 623328160. Its totient is φ = 73168704.

The previous prime is 221116751. The next prime is 221116757. The reversal of 221116752 is 257611122.

It is a super-3 number, since 3×221116752³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221116751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14493 + ... + 25539.

Almost surely, 2^221116752 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 221116752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311664080).

221116752 is an abundant number, since it is smaller than the sum of its proper divisors (402211408).

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

221116752 is a wasteful number, since it uses less digits than its factorization.

221116752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200 (or 11191 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 221116752 is about 14869.9950235365. The cubic root of 221116752 is about 604.7008078276.

Adding to 221116752 its reverse (257611122), we get a palindrome (478727874).

The spelling of 221116752 in words is "two hundred twenty-one million, one hundred sixteen thousand, seven hundred fifty-two".