221967330 has 64 divisors (see below), whose sum is σ = 575261568. Its totient is φ = 54489600.

The previous prime is 221967311. The next prime is 221967337. The reversal of 221967330 is 33769122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221967291 and 221967300.

It is not an unprimeable number, because it can be changed into a prime (221967337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233917 + ... + 234863.

It is an arithmetic number, because the mean of its divisors is an integer number (8988462).

Almost surely, 2^221967330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221967330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287630784).

221967330 is an abundant number, since it is smaller than the sum of its proper divisors (353294238).

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

221967330 is a wasteful number, since it uses less digits than its factorization.

221967330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 221967330 is about 14898.5680519975. The cubic root of 221967330 is about 605.4751907241.

The spelling of 221967330 in words is "two hundred twenty-one million, nine hundred sixty-seven thousand, three hundred thirty".