233000223120 has 480 divisors, whose sum is σ = 916939026432. Its totient is φ = 51912741888.

The previous prime is 233000223061. The next prime is 233000223133. The reversal of 233000223120 is 21322000332.

It is a happy number.

233000223120 is a `hidden beast` number, since 2 + 330 + 0 + 0 + 22 + 312 + 0 = 666.

233000223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233000223093 and 233000223102.

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 95 ways as a sum of consecutive naturals, for example, 161022237 + ... + 161023683.

Almost surely, 2^233000223120 is an apocalyptic number.

233000223120 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 233000223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458469513216).

233000223120 is an abundant number, since it is smaller than the sum of its proper divisors (683938803312).

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

233000223120 is a wasteful number, since it uses less digits than its factorization.

233000223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 233000223120 its reverse (21322000332), we get a palindrome (254322223452).

The spelling of 233000223120 in words is "two hundred thirty-three billion, two hundred twenty-three thousand, one hundred twenty".