223213200 has 120 divisors (see below), whose sum is σ = 817203648. Its totient is φ = 51018240.

The previous prime is 223213189. The next prime is 223213201. The reversal of 223213200 is 2312322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×223213200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223213200.

It is not an unprimeable number, because it can be changed into a prime (223213201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4887 + ... + 21686.

Almost surely, 2^223213200 is an apocalyptic number.

223213200 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 223213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408601824).

223213200 is an abundant number, since it is smaller than the sum of its proper divisors (593990448).

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

223213200 is a wasteful number, since it uses less digits than its factorization.

223213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26601 (or 26590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223213200 is about 14940.3212816860. The cubic root of 223213200 is about 606.6058922871.

Adding to 223213200 its reverse (2312322), we get a palindrome (225525522).

The spelling of 223213200 in words is "two hundred twenty-three million, two hundred thirteen thousand, two hundred".