234133253200 has 480 divisors, whose sum is σ = 740985431040. Its totient is φ = 68876697600.

The previous prime is 234133253183. The next prime is 234133253209. The reversal of 234133253200 is 2352331432.

234133253200 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234133253209) by changing a digit.

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, 203063824 + ... + 203064976.

It is an arithmetic number, because the mean of its divisors is an integer number (1543719648).

Almost surely, 2^234133253200 is an apocalyptic number.

234133253200 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 234133253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370492715520).

234133253200 is an abundant number, since it is smaller than the sum of its proper divisors (506852177840).

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

234133253200 is a wasteful number, since it uses less digits than its factorization.

234133253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 234133253200 its reverse (2352331432), we get a palindrome (236485584632).

The spelling of 234133253200 in words is "two hundred thirty-four billion, one hundred thirty-three million, two hundred fifty-three thousand, two hundred".