233401333224 has 128 divisors (see below), whose sum is σ = 624614400000. Its totient is φ = 72465539328.

The previous prime is 233401333199. The next prime is 233401333229. The reversal of 233401333224 is 422333104332.

It is a junction number, because it is equal to n+sod(n) for n = 233401333191 and 233401333200.

It is not an unprimeable number, because it can be changed into a prime (233401333229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8596182 + ... + 8623290.

It is an arithmetic number, because the mean of its divisors is an integer number (4879800000).

Almost surely, 2^233401333224 is an apocalyptic number.

233401333224 is a gapful number since it is divisible by the number (24) 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 233401333224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312307200000).

233401333224 is an abundant number, since it is smaller than the sum of its proper divisors (391213066776).

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

233401333224 is a wasteful number, since it uses less digits than its factorization.

233401333224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27455 (or 27451 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 233401333224 its reverse (422333104332), we get a palindrome (655734437556).

The spelling of 233401333224 in words is "two hundred thirty-three billion, four hundred one million, three hundred thirty-three thousand, two hundred twenty-four".