223161312 has 192 divisors, whose sum is σ = 700213248. Its totient is φ = 61440000.

The previous prime is 223161277. The next prime is 223161313. The reversal of 223161312 is 213161322.

223161312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223161312³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223161313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556312 + ... + 556712.

It is an arithmetic number, because the mean of its divisors is an integer number (3646944).

Almost surely, 2^223161312 is an apocalyptic number.

223161312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350106624).

223161312 is an abundant number, since it is smaller than the sum of its proper divisors (477051936).

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

223161312 is a wasteful number, since it uses less digits than its factorization.

223161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 223161312 is about 14938.5846719159. The cubic root of 223161312 is about 606.5588849032.

The spelling of 223161312 in words is "two hundred twenty-three million, one hundred sixty-one thousand, three hundred twelve".