221747680 has 192 divisors, whose sum is σ = 670602240. Its totient is φ = 67276800.

The previous prime is 221747671. The next prime is 221747791. The reversal of 221747680 is 86747122.

221747680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504901 + ... + 505339.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^221747680 is an apocalyptic number.

221747680 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 221747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

221747680 is an abundant number, since it is smaller than the sum of its proper divisors (448854560).

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

221747680 is a wasteful number, since it uses less digits than its factorization.

221747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 221747680 is about 14891.1947136554. The cubic root of 221747680 is about 605.2754067922.

The spelling of 221747680 in words is "two hundred twenty-one million, seven hundred forty-seven thousand, six hundred eighty".