223112000 has 84 divisors (see below), whose sum is σ = 555865284. Its totient is φ = 88710400.

The previous prime is 223111963. The next prime is 223112009. The reversal of 223112000 is 211322.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7139584 + 215972416 = 2672^2 + 14696^2 .

It is a super-3 number, since 3×223112000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223112009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335917 + ... + 1336083.

Almost surely, 2^223112000 is an apocalyptic number.

223112000 is a gapful number since it is divisible by the number (20) 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 223112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277932642).

223112000 is an abundant number, since it is smaller than the sum of its proper divisors (332753284).

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

223112000 is an frugal number, since it uses more digits than its factorization.

223112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 223112000 is about 14936.9340896986. The cubic root of 223112000 is about 606.5142044657.

Adding to 223112000 its reverse (211322), we get a palindrome (223323322).

The spelling of 223112000 in words is "two hundred twenty-three million, one hundred twelve thousand".