221201152 has 36 divisors (see below), whose sum is σ = 445878160. Its totient is φ = 109513728.

The previous prime is 221201137. The next prime is 221201153. The reversal of 221201152 is 251102122.

It is a happy number.

221201152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221201152² = 97859899292254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221201153) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 22174 + ... + 30562.

Almost surely, 2^221201152 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 221201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222939080).

221201152 is an abundant number, since it is smaller than the sum of its proper divisors (224677008).

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

221201152 is an equidigital number, since it uses as much as digits as its factorization.

221201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 221201152 is about 14872.8326824449. The cubic root of 221201152 is about 604.7777358992. Note that the first 4 decimals are identical.

Adding to 221201152 its reverse (251102122), we get a palindrome (472303274).

The spelling of 221201152 in words is "two hundred twenty-one million, two hundred one thousand, one hundred fifty-two".