222350254321 has 72 divisors (see below), whose sum is σ = 261763964280. Its totient is φ = 187520707584.

The previous prime is 222350254307. The next prime is 222350254331. The reversal of 222350254321 is 123452053222.

222350254321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 16941885921 + 205408368400 = 130161^2 + 453220^2 .

It is not a de Polignac number, because 222350254321 - 2⁵ = 222350254289 is a prime.

It is a super-3 number, since 3×222350254321³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222350254331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 954292821 + ... + 954293053.

It is an arithmetic number, because the mean of its divisors is an integer number (3635610615).

Almost surely, 2^222350254321 is an apocalyptic number.

It is an amenable number.

222350254321 is a deficient number, since it is larger than the sum of its proper divisors (39413709959).

222350254321 is a wasteful number, since it uses less digits than its factorization.

222350254321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 222350254321 in words is "two hundred twenty-two billion, three hundred fifty million, two hundred fifty-four thousand, three hundred twenty-one".