221314000 has 80 divisors (see below), whose sum is σ = 538536960. Its totient is φ = 87964800.

The previous prime is 221313977. The next prime is 221314019. The reversal of 221314000 is 413122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477769 + ... + 478231.

It is an arithmetic number, because the mean of its divisors is an integer number (6731712).

Almost surely, 2^221314000 is an apocalyptic number.

221314000 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 221314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269268480).

221314000 is an abundant number, since it is smaller than the sum of its proper divisors (317222960).

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

221314000 is a wasteful number, since it uses less digits than its factorization.

221314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221314000 is about 14876.6259615546. The cubic root of 221314000 is about 604.8805629036.

Adding to 221314000 its reverse (413122), we get a palindrome (221727122).

The spelling of 221314000 in words is "two hundred twenty-one million, three hundred fourteen thousand".