221960 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 85440.

The previous prime is 221957. The next prime is 221987. The reversal of 221960 is 69122.

221960 = T₂₆₉ + T₂₇₀ + ... + T₂₇₄.

221960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1151 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²²¹⁹⁶⁰ is an apocalyptic number.

221960 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 221960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

221960 is an abundant number, since it is smaller than the sum of its proper divisors (296440).

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

221960 is a wasteful number, since it uses less digits than its factorization.

221960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 221960 is about 471.1263100274. The cubic root of 221960 is about 60.5468525806.

The spelling of 221960 in words is "two hundred twenty-one thousand, nine hundred sixty".