223312000 has 128 divisors (see below), whose sum is σ = 588584880. Its totient is φ = 83968000.

The previous prime is 223311973. The next prime is 223312009. The reversal of 223312000 is 213322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9684544 + 213627456 = 3112^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271590 + ... + 272410.

Almost surely, 2^223312000 is an apocalyptic number.

223312000 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 223312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294292440).

223312000 is an abundant number, since it is smaller than the sum of its proper divisors (365272880).

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

223312000 is an equidigital number, since it uses as much as digits as its factorization.

223312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 223312000 is about 14943.6274043487. The cubic root of 223312000 is about 606.6953789628.

Adding to 223312000 its reverse (213322), we get a palindrome (223525322).

The spelling of 223312000 in words is "two hundred twenty-three million, three hundred twelve thousand".