221360 has 20 divisors (see below), whose sum is σ = 514848. Its totient is φ = 88512.

The previous prime is 221327. The next prime is 221393. The reversal of 221360 is 63122.

221360 = T₁₄ + T₁₅ + ... + T₁₀₉.

It is an interprime number because it is at equal distance from previous prime (221327) and next prime (221393).

It is a tau number, because it is divible by the number of its divisors (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221360.

It is an unprimeable number.

221360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1304 + ... + 1463.

2²²¹³⁶⁰ is an apocalyptic number.

221360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221360 is an abundant number, since it is smaller than the sum of its proper divisors (293488).

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

221360 is a wasteful number, since it uses less digits than its factorization.

221360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221360 is about 470.4891072065. The cubic root of 221360 is about 60.4922468037.

Adding to 221360 its reverse (63122), we get a palindrome (284482).

The spelling of 221360 in words is "two hundred twenty-one thousand, three hundred sixty".