223335200 has 144 divisors (see below), whose sum is σ = 610273440. Its totient is φ = 79104000.

The previous prime is 223335199. The next prime is 223335263. The reversal of 223335200 is 2533322.

223335200 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-2 number, since 2×223335200² = 99757223118080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 360491 + ... + 361109.

It is an arithmetic number, because the mean of its divisors is an integer number (4238010).

Almost surely, 2^223335200 is an apocalyptic number.

223335200 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 223335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305136720).

223335200 is an abundant number, since it is smaller than the sum of its proper divisors (386938240).

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

223335200 is a wasteful number, since it uses less digits than its factorization.

223335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 223335200 is about 14944.4036348059. The cubic root of 223335200 is about 606.7163882016.

Adding to 223335200 its reverse (2533322), we get a palindrome (225868522).

The spelling of 223335200 in words is "two hundred twenty-three million, three hundred thirty-five thousand, two hundred".