223333002230100 has 576 divisors, whose sum is σ = 803196297146880. Its totient is φ = 46738391040000.

The previous prime is 223333002230033. The next prime is 223333002230119. The reversal of 223333002230100 is 1032200333322.

It is a super-3 number, since 3×223333002230100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11228960956 + ... + 11228980844.

It is an arithmetic number, because the mean of its divisors is an integer number (1394438015880).

Almost surely, 2^{223333002230100} is an apocalyptic number.

223333002230100 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 223333002230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401598148573440).

223333002230100 is an abundant number, since it is smaller than the sum of its proper divisors (579863294916780).

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

223333002230100 is a wasteful number, since it uses less digits than its factorization.

223333002230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28468 (or 28461 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 223333002230100 its reverse (1032200333322), we get a palindrome (224365202563422).

The spelling of 223333002230100 in words is "two hundred twenty-three trillion, three hundred thirty-three billion, two million, two hundred thirty thousand, one hundred".