221353312324 has 9 divisors (see below), whose sum is σ = 387369943261. Its totient is φ = 110676185680.

The previous prime is 221353312283. The next prime is 221353312381. The reversal of 221353312324 is 423213353122.

The square root of 221353312324 is 470482.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 221293094724 + 60217600 = 470418^2 + 7760^2 .

It is a super-3 number, since 3×221353312324³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 823344 + ... + 1058584.

Almost surely, 2^221353312324 is an apocalyptic number.

221353312324 is the 470482-nd square number.

It is an amenable number.

221353312324 is a deficient number, since it is larger than the sum of its proper divisors (166016630937).

221353312324 is an frugal number, since it uses more digits than its factorization.

221353312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470486 (or 235243 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

Adding to 221353312324 its reverse (423213353122), we get a palindrome (644566665446).

The spelling of 221353312324 in words is "two hundred twenty-one billion, three hundred fifty-three million, three hundred twelve thousand, three hundred twenty-four".