221470560 has 288 divisors, whose sum is σ = 817296480. Its totient is φ = 54411264.

The previous prime is 221470559. The next prime is 221470573. The reversal of 221470560 is 65074122.

221470560 is a `hidden beast` number, since 22 + 14 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031786 + ... + 2031894.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835).

Almost surely, 2^221470560 is an apocalyptic number.

221470560 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 221470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408648240).

221470560 is an abundant number, since it is smaller than the sum of its proper divisors (595825920).

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

221470560 is a wasteful number, since it uses less digits than its factorization.

221470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 221470560 is about 14881.8869771276. The cubic root of 221470560 is about 605.0231623762.

The spelling of 221470560 in words is "two hundred twenty-one million, four hundred seventy thousand, five hundred sixty".