221152 has 12 divisors (see below), whose sum is σ = 435456. Its totient is φ = 110560.

The previous prime is 221101. The next prime is 221159. The reversal of 221152 is 251122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221159) by changing a digit.

221152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3424 + ... + 3487.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2²²¹¹⁵² is an apocalyptic number.

It is an amenable number.

221152 is a deficient number, since it is larger than the sum of its proper divisors (214304).

221152 is an equidigital number, since it uses as much as digits as its factorization.

221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6913 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 221152 is about 470.2680086929. The cubic root of 221152 is about 60.4732937704.

Adding to 221152 its reverse (251122), we get a palindrome (472274).

It can be divided in two parts, 221 and 152, that added together give a palindrome (373).

The spelling of 221152 in words is "two hundred twenty-one thousand, one hundred fifty-two".