221330144 has 48 divisors (see below), whose sum is σ = 508612608. Its totient is φ = 92833152.

The previous prime is 221330141. The next prime is 221330147. The reversal of 221330144 is 441033122.

It is an interprime number because it is at equal distance from previous prime (221330141) and next prime (221330147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 21039.

It is an arithmetic number, because the mean of its divisors is an integer number (10596096).

Almost surely, 2^221330144 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 221330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254306304).

221330144 is an abundant number, since it is smaller than the sum of its proper divisors (287282464).

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

221330144 is a wasteful number, since it uses less digits than its factorization.

221330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21087 (or 21079 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 221330144 is about 14877.1685478118. The cubic root of 221330144 is about 604.8952704448.

Adding to 221330144 its reverse (441033122), we get a palindrome (662363266).

The spelling of 221330144 in words is "two hundred twenty-one million, three hundred thirty thousand, one hundred forty-four".