3222308616241 has 27 divisors (see below), whose sum is σ = 3835591845057. Its totient is φ = 2703819792960.

The previous prime is 3222308616229. The next prime is 3222308616253. The reversal of 3222308616241 is 1426168032223.

It is a happy number.

The square root of 3222308616241 is 1795079.

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

It is an interprime number because it is at equal distance from previous prime (3222308616229) and next prime (3222308616253).

It can be written as a sum of positive squares in 4 ways, for example, as 360865719841 + 2861442896400 = 600721^2 + 1691580^2 .

It is not a de Polignac number, because 3222308616241 - 2⁵ = 3222308616209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3222308616194 and 3222308616203.

It is not an unprimeable number, because it can be changed into a prime (3222308616281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256690021 + ... + 256702573.

Almost surely, 2^{3222308616241} is an apocalyptic number.

3222308616241 is the 1795079-th square number.

3222308616241 is the 897540-th centered octagonal number.

It is an amenable number.

3222308616241 is a deficient number, since it is larger than the sum of its proper divisors (613283228816).

3222308616241 is an frugal number, since it uses more digits than its factorization.

3222308616241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25154 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 3222308616241 in words is "three trillion, two hundred twenty-two billion, three hundred eight million, six hundred sixteen thousand, two hundred forty-one".