221214320 has 80 divisors (see below), whose sum is σ = 538090560. Its totient is φ = 84467712.

The previous prime is 221214307. The next prime is 221214347. The reversal of 221214320 is 23412122.

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, 224549 + ... + 225531.

It is an arithmetic number, because the mean of its divisors is an integer number (6726132).

Almost surely, 2^221214320 is an apocalyptic number.

221214320 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 221214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269045280).

221214320 is an abundant number, since it is smaller than the sum of its proper divisors (316876240).

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

221214320 is a wasteful number, since it uses less digits than its factorization.

221214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 221214320 is about 14873.2753622059. The cubic root of 221214320 is about 604.7897363720.

Adding to 221214320 its reverse (23412122), we get a palindrome (244626442).

The spelling of 221214320 in words is "two hundred twenty-one million, two hundred fourteen thousand, three hundred twenty".