221433034320 has 60 divisors (see below), whose sum is σ = 743645942676. Its totient is φ = 59048808960.

The previous prime is 221433034261. The next prime is 221433034367. The reversal of 221433034320 is 23430334122.

221433034320 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 330 + 3 + 4 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33261005376 + 188172028944 = 182376^2 + 433788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153772221 + ... + 153773660.

Almost surely, 2^221433034320 is an apocalyptic number.

221433034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221433034320 is an abundant number, since it is smaller than the sum of its proper divisors (522212908356).

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

221433034320 is a wasteful number, since it uses less digits than its factorization.

221433034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307545900 (or 307545891 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 221433034320 its reverse (23430334122), we get a palindrome (244863368442).

The spelling of 221433034320 in words is "two hundred twenty-one billion, four hundred thirty-three million, thirty-four thousand, three hundred twenty".