223133032320 has 256 divisors, whose sum is σ = 778082112000. Its totient is φ = 53940346880.

The previous prime is 223133032273. The next prime is 223133032327. The reversal of 223133032320 is 23230331322.

It is a super-3 number, since 3×223133032320³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (223133032327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7567366 + ... + 7596794.

It is an arithmetic number, because the mean of its divisors is an integer number (3039383250).

Almost surely, 2^223133032320 is an apocalyptic number.

223133032320 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 223133032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389041056000).

223133032320 is an abundant number, since it is smaller than the sum of its proper divisors (554949079680).

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

223133032320 is a wasteful number, since it uses less digits than its factorization.

223133032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29821 (or 29809 counting only the distinct ones).

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

Adding to 223133032320 its reverse (23230331322), we get a palindrome (246363363642).

The spelling of 223133032320 in words is "two hundred twenty-three billion, one hundred thirty-three million, thirty-two thousand, three hundred twenty".