221116032 has 96 divisors (see below), whose sum is σ = 639238080. Its totient is φ = 73363968.

The previous prime is 221116031. The next prime is 221116037. The reversal of 221116032 is 230611122.

221116032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221115996 and 221116014.

It is not an unprimeable number, because it can be changed into a prime (221116031) 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, 422523 + ... + 423045.

It is an arithmetic number, because the mean of its divisors is an integer number (6658730).

Almost surely, 2^221116032 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 221116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319619040).

221116032 is an abundant number, since it is smaller than the sum of its proper divisors (418122048).

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

221116032 is a wasteful number, since it uses less digits than its factorization.

221116032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 221116032 is about 14869.9708136903. The cubic root of 221116032 is about 604.7001514850.

Adding to 221116032 its reverse (230611122), we get a palindrome (451727154).

The spelling of 221116032 in words is "two hundred twenty-one million, one hundred sixteen thousand, thirty-two".