221938080 has 192 divisors, whose sum is σ = 860606208. Its totient is φ = 46817280.

The previous prime is 221938051. The next prime is 221938081. The reversal of 221938080 is 80839122.

It is a super-2 number, since 2×221938080² = 98513022708172800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221938081) 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 31 ways as a sum of consecutive naturals, for example, 41140 + ... + 46220.

It is an arithmetic number, because the mean of its divisors is an integer number (4482324).

Almost surely, 2^221938080 is an apocalyptic number.

221938080 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 221938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430303104).

221938080 is an abundant number, since it is smaller than the sum of its proper divisors (638668128).

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

221938080 is a wasteful number, since it uses less digits than its factorization.

221938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 221938080 is about 14897.5863816928. The cubic root of 221938080 is about 605.4485938261.

The spelling of 221938080 in words is "two hundred twenty-one million, nine hundred thirty-eight thousand, eighty".