223101312 has 192 divisors, whose sum is σ = 703261440. Its totient is φ = 62469120.

The previous prime is 223101299. The next prime is 223101323. The reversal of 223101312 is 213101322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×223101312³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223101291 and 223101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335853 + ... + 1336019.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^223101312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

223101312 is an abundant number, since it is smaller than the sum of its proper divisors (480160128).

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

223101312 is a wasteful number, since it uses less digits than its factorization.

223101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 223101312 is about 14936.5763145374. The cubic root of 223101312 is about 606.5045194535.

Adding to 223101312 its reverse (213101322), we get a palindrome (436202634).

The spelling of 223101312 in words is "two hundred twenty-three million, one hundred one thousand, three hundred twelve".