221310404 has 96 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 85767552.

The previous prime is 221310371. The next prime is 221310413. The reversal of 221310404 is 404013122.

221310404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1325129 + ... + 1325295.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^221310404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221310404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

221310404 is an abundant number, since it is smaller than the sum of its proper divisors (266400316).

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

221310404 is a wasteful number, since it uses less digits than its factorization.

221310404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 221310404 is about 14876.5051003251. The cubic root of 221310404 is about 604.8772867706.

Adding to 221310404 its reverse (404013122), we get a palindrome (625323526).

The spelling of 221310404 in words is "two hundred twenty-one million, three hundred ten thousand, four hundred four".