221441120 has 48 divisors (see below), whose sum is σ = 530349120. Its totient is φ = 87358464.

The previous prime is 221441113. The next prime is 221441131. The reversal of 221441120 is 21144122.

It is a congruent number.

It is an unprimeable number.

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, 2201 + ... + 21159.

It is an arithmetic number, because the mean of its divisors is an integer number (11048940).

Almost surely, 2^221441120 is an apocalyptic number.

221441120 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 221441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265174560).

221441120 is an abundant number, since it is smaller than the sum of its proper divisors (308908000).

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

221441120 is a wasteful number, since it uses less digits than its factorization.

221441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19047 (or 19039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 221441120 is about 14880.8978223762. The cubic root of 221441120 is about 604.9963526862.

Adding to 221441120 its reverse (21144122), we get a palindrome (242585242).

It can be divided in two parts, 2214 and 41120, that added together give a palindrome (43334).

The spelling of 221441120 in words is "two hundred twenty-one million, four hundred forty-one thousand, one hundred twenty".