221311104 has 128 divisors (see below), whose sum is σ = 676529280. Its totient is φ = 62791680.

The previous prime is 221311091. The next prime is 221311121. The reversal of 221311104 is 401113122.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755182 + ... + 755474.

It is an arithmetic number, because the mean of its divisors is an integer number (5285385).

Almost surely, 2^221311104 is an apocalyptic number.

221311104 is a gapful number since it is divisible by the number (24) 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 221311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338264640).

221311104 is an abundant number, since it is smaller than the sum of its proper divisors (455218176).

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

221311104 is a wasteful number, since it uses less digits than its factorization.

221311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 221311104 is about 14876.5286273378. The cubic root of 221311104 is about 604.8779245078.

Adding to 221311104 its reverse (401113122), we get a palindrome (622424226).

The spelling of 221311104 in words is "two hundred twenty-one million, three hundred eleven thousand, one hundred four".