221175680 has 128 divisors (see below), whose sum is σ = 584949600. Its totient is φ = 79298560.

The previous prime is 221175679. The next prime is 221175697. The reversal of 221175680 is 86571122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 626384 + ... + 626736.

Almost surely, 2^221175680 is an apocalyptic number.

221175680 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 221175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292474800).

221175680 is an abundant number, since it is smaller than the sum of its proper divisors (363773920).

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

221175680 is a wasteful number, since it uses less digits than its factorization.

221175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 221175680 is about 14871.9763313421. The cubic root of 221175680 is about 604.7545209963.

The spelling of 221175680 in words is "two hundred twenty-one million, one hundred seventy-five thousand, six hundred eighty".