223133300213004 has 144 divisors (see below), whose sum is σ = 590407051852800. Its totient is φ = 70920307476480.

The previous prime is 223133300212969. The next prime is 223133300213051. The reversal of 223133300213004 is 400312003331322.

223133300213004 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 330 + 0 + 21 + 300 + 4 = 666.

It is a super-3 number, since 3×223133300213004³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405328189 + ... + 405878315.

It is an arithmetic number, because the mean of its divisors is an integer number (4100048971200).

Almost surely, 2^{223133300213004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223133300213004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295203525926400).

223133300213004 is an abundant number, since it is smaller than the sum of its proper divisors (367273751639796).

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

223133300213004 is a wasteful number, since it uses less digits than its factorization.

223133300213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551700 (or 551695 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 223133300213004 its reverse (400312003331322), we get a palindrome (623445303544326).

The spelling of 223133300213004 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, three hundred million, two hundred thirteen thousand, four".