223113600 has 288 divisors, whose sum is σ = 815543040. Its totient is φ = 58060800.

The previous prime is 223113587. The next prime is 223113607. The reversal of 223113600 is 6311322.

223113600 is a `hidden beast` number, since 22 + 31 + 13 + 600 = 666.

223113600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×223113600³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223113607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1756737 + ... + 1756863.

Almost surely, 2^223113600 is an apocalyptic number.

223113600 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 223113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407771520).

223113600 is an abundant number, since it is smaller than the sum of its proper divisors (592429440).

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

223113600 is a wasteful number, since it uses less digits than its factorization.

223113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 223113600 is about 14936.9876481170. The cubic root of 223113600 is about 606.5156542912.

Adding to 223113600 its reverse (6311322), we get a palindrome (229424922).

The spelling of 223113600 in words is "two hundred twenty-three million, one hundred thirteen thousand, six hundred".