223200 has 108 divisors (see below), whose sum is σ = 812448. Its totient is φ = 57600.

The previous prime is 223151. The next prime is 223207. The reversal of 223200 is 2322.

It is a super-3 number, since 3×223200³ = 33358293504000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223207) by changing a digit.

223200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7185 + ... + 7215.

2²²³²⁰⁰ is an apocalyptic number.

223200 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 223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

223200 is an abundant number, since it is smaller than the sum of its proper divisors (589248).

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

223200 is a wasteful number, since it uses less digits than its factorization.

223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 223200 is about 472.4404724407. The cubic root of 223200 is about 60.6593934578.

Adding to 223200 its reverse (2322), we get a palindrome (225522).

The spelling of 223200 in words is "two hundred twenty-three thousand, two hundred", and thus it is an iban number.