223312224003000 has 256 divisors, whose sum is σ = 760095475776000. Its totient is φ = 54134739072000.

The previous prime is 223312224002969. The next prime is 223312224003007. The reversal of 223312224003000 is 300422213322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223312224003007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494462291 + ... + 1494611709.

It is an arithmetic number, because the mean of its divisors is an integer number (2969122952250).

Almost surely, 2^{223312224003000} is an apocalyptic number.

223312224003000 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 223312224003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380047737888000).

223312224003000 is an abundant number, since it is smaller than the sum of its proper divisors (536783251773000).

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

223312224003000 is a wasteful number, since it uses less digits than its factorization.

223312224003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194743 (or 194729 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223312224003000 its reverse (300422213322), we get a palindrome (223612646216322).

The spelling of 223312224003000 in words is "two hundred twenty-three trillion, three hundred twelve billion, two hundred twenty-four million, three thousand".