221433330 has 64 divisors (see below), whose sum is σ = 564537600. Its totient is φ = 55394304.

The previous prime is 221433323. The next prime is 221433337. The reversal of 221433330 is 33334122.

It is an interprime number because it is at equal distance from previous prime (221433323) and next prime (221433337).

It is a junction number, because it is equal to n+sod(n) for n = 221433297 and 221433306.

It is not an unprimeable number, because it can be changed into a prime (221433337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228507 + ... + 229473.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^221433330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221433330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282268800).

221433330 is an abundant number, since it is smaller than the sum of its proper divisors (343104270).

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

221433330 is a wasteful number, since it uses less digits than its factorization.

221433330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 221433330 is about 14880.6360751145. The cubic root of 221433330 is about 604.9892582843.

Adding to 221433330 its reverse (33334122), we get a palindrome (254767452).

The spelling of 221433330 in words is "two hundred twenty-one million, four hundred thirty-three thousand, three hundred thirty".