221466330 has 96 divisors (see below), whose sum is σ = 607286160. Its totient is φ = 55910400.

The previous prime is 221466319. The next prime is 221466331. The reversal of 221466330 is 33664122.

221466330 is a `hidden beast` number, since 2 + 21 + 4 + 6 + 633 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 193682889 + 27783441 = 13917^2 + 5271^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221466294 and 221466303.

It is not an unprimeable number, because it can be changed into a prime (221466331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137530 + ... + 139130.

Almost surely, 2^221466330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221466330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303643080).

221466330 is an abundant number, since it is smaller than the sum of its proper divisors (385819830).

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

221466330 is a wasteful number, since it uses less digits than its factorization.

221466330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 221466330 is about 14881.7448573748. The cubic root of 221466330 is about 605.0193104507.

The spelling of 221466330 in words is "two hundred twenty-one million, four hundred sixty-six thousand, three hundred thirty".