221132160 has 256 divisors, whose sum is σ = 799027200. Its totient is φ = 57784320.

The previous prime is 221132129. The next prime is 221132167. The reversal of 221132160 is 61231122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157665 + ... + 1157855.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^221132160 is an apocalyptic number.

221132160 is a gapful number since it is divisible by the number (20) 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 221132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399513600).

221132160 is an abundant number, since it is smaller than the sum of its proper divisors (577895040).

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

221132160 is a wasteful number, since it uses less digits than its factorization.

221132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

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

The square root of 221132160 is about 14870.5131047990. The cubic root of 221132160 is about 604.7148532185.

Adding to 221132160 its reverse (61231122), we get a palindrome (282363282).

The spelling of 221132160 in words is "two hundred twenty-one million, one hundred thirty-two thousand, one hundred sixty".