221444160 has 224 divisors, whose sum is σ = 830226432. Its totient is φ = 48936960.

The previous prime is 221444143. The next prime is 221444173. The reversal of 221444160 is 61444122.

It is a happy number.

221444160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14881²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221444160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207789 + ... + 208851.

It is an arithmetic number, because the mean of its divisors is an integer number (3706368).

Almost surely, 2^221444160 is an apocalyptic number.

221444160 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 221444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415113216).

221444160 is an abundant number, since it is smaller than the sum of its proper divisors (608782272).

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

221444160 is a wasteful number, since it uses less digits than its factorization.

221444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 221444160 is about 14880.9999664001. Note that the first 4 decimals coincide. The cubic root of 221444160 is about 604.9991211881. Note that the first 3 decimals are identical.

Adding to 221444160 its reverse (61444122), we get a palindrome (282888282).

The spelling of 221444160 in words is "two hundred twenty-one million, four hundred forty-four thousand, one hundred sixty".