233000223201032 has 128 divisors (see below), whose sum is σ = 516965469696000. Its totient is φ = 96327579075840.

The previous prime is 233000223201029. The next prime is 233000223201037. The reversal of 233000223201032 is 230102322000332.

233000223201032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233000223200989 and 233000223201007.

It is not an unprimeable number, because it can be changed into a prime (233000223201037) 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, 19483247069 + ... + 19483259027.

It is an arithmetic number, because the mean of its divisors is an integer number (4038792732000).

Almost surely, 2^{233000223201032} 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 233000223201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258482734848000).

233000223201032 is an abundant number, since it is smaller than the sum of its proper divisors (283965246494968).

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

233000223201032 is a wasteful number, since it uses less digits than its factorization.

233000223201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21739 (or 21735 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 233000223201032 its reverse (230102322000332), we get a palindrome (463102545201364).

The spelling of 233000223201032 in words is "two hundred thirty-three trillion, two hundred twenty-three million, two hundred one thousand, thirty-two".