221276160 has 360 divisors, whose sum is σ = 894667410. Its totient is φ = 50577408.

The previous prime is 221276149. The next prime is 221276173. The reversal of 221276160 is 61672122.

221276160 is a `hidden beast` number, since 2 + 21 + 27 + 616 + 0 = 666.

221276160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 22127616 = 14112^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31610877 + ... + 31610883.

Almost surely, 2^221276160 is an apocalyptic number.

221276160 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 221276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447333705).

221276160 is an abundant number, since it is smaller than the sum of its proper divisors (673391250).

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

221276160 is an frugal number, since it uses more digits than its factorization.

221276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 221276160 is about 14875.3541134321. The cubic root of 221276160 is about 604.8460870230.

The spelling of 221276160 in words is "two hundred twenty-one million, two hundred seventy-six thousand, one hundred sixty".