221338320 has 80 divisors (see below), whose sum is σ = 784176000. Its totient is φ = 50591232.

The previous prime is 221338309. The next prime is 221338321. The reversal of 221338320 is 23833122.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221338321) 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 15 ways as a sum of consecutive naturals, for example, 64195 + ... + 67554.

It is an arithmetic number, because the mean of its divisors is an integer number (9802200).

Almost surely, 2^221338320 is an apocalyptic number.

221338320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221338320 is an abundant number, since it is smaller than the sum of its proper divisors (562837680).

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

221338320 is a wasteful number, since it uses less digits than its factorization.

221338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131772 (or 131766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 221338320 is about 14877.4433287444. The cubic root of 221338320 is about 604.9027186890.

The spelling of 221338320 in words is "two hundred twenty-one million, three hundred thirty-eight thousand, three hundred twenty".