221824320 has 56 divisors (see below), whose sum is σ = 704295264. Its totient is φ = 59152896.

The previous prime is 221824319. The next prime is 221824321. The reversal of 221824320 is 23428122.

It is an interprime number because it is at equal distance from previous prime (221824319) and next prime (221824321).

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 (221824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114574 + ... + 116493.

Almost surely, 2^221824320 is an apocalyptic number.

221824320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221824320 is an abundant number, since it is smaller than the sum of its proper divisors (482470944).

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

221824320 is a wasteful number, since it uses less digits than its factorization.

221824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231087 (or 231077 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 221824320 is about 14893.7678241605. The cubic root of 221824320 is about 605.3451301282.

The spelling of 221824320 in words is "two hundred twenty-one million, eight hundred twenty-four thousand, three hundred twenty".