221330512 has 30 divisors (see below), whose sum is σ = 464357742. Its totient is φ = 102151296.

The previous prime is 221330507. The next prime is 221330513. The reversal of 221330512 is 215033122.

It can be written as a sum of positive squares in 3 ways, for example, as 13278736 + 208051776 = 3644^2 + 14424^2 .

It is a super-3 number, since 3×221330512³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221330512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38223 + ... + 43630.

Almost surely, 2^221330512 is an apocalyptic number.

It is an amenable number.

221330512 is an abundant number, since it is smaller than the sum of its proper divisors (243027230).

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

221330512 is a wasteful number, since it uses less digits than its factorization.

221330512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81887 (or 81868 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 221330512 is about 14877.1809157515. The cubic root of 221330512 is about 604.8956056926.

Adding to 221330512 its reverse (215033122), we get a palindrome (436363634).

The spelling of 221330512 in words is "two hundred twenty-one million, three hundred thirty thousand, five hundred twelve".