221313330 has 128 divisors (see below), whose sum is σ = 710092800. Its totient is φ = 47915712.

The previous prime is 221313299. The next prime is 221313341. The reversal of 221313330 is 33313122.

221313330 is a `hidden beast` number, since 2 + 21 + 313 + 330 = 666.

221313330 is digitally balanced in base 2 and base 3, because in such bases 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 (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32829 + ... + 38991.

It is an arithmetic number, because the mean of its divisors is an integer number (5547600).

Almost surely, 2^221313330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355046400).

221313330 is an abundant number, since it is smaller than the sum of its proper divisors (488779470).

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

221313330 is a wasteful number, since it uses less digits than its factorization.

221313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 221313330 is about 14876.6034429906. The cubic root of 221313330 is about 604.8799525033.

Adding to 221313330 its reverse (33313122), we get a palindrome (254626452).

The spelling of 221313330 in words is "two hundred twenty-one million, three hundred thirteen thousand, three hundred thirty".