221344000 has 72 divisors (see below), whose sum is σ = 551475288. Its totient is φ = 88524800.

The previous prime is 221343989. The next prime is 221344001. The reversal of 221344000 is 443122.

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 217149696 = 2048^2 + 14736^2 .

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 (221344001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28542 + ... + 35458.

It is an arithmetic number, because the mean of its divisors is an integer number (7659379).

Almost surely, 2^221344000 is an apocalyptic number.

221344000 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 221344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275737644).

221344000 is an abundant number, since it is smaller than the sum of its proper divisors (330131288).

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

221344000 is an frugal number, since it uses more digits than its factorization.

221344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 221344000 is about 14877.6342205339. The cubic root of 221344000 is about 604.9078929972.

Adding to 221344000 its reverse (443122), we get a palindrome (221787122).

The spelling of 221344000 in words is "two hundred twenty-one million, three hundred forty-four thousand".