234211200 has 192 divisors, whose sum is σ = 797329920. Its totient is φ = 60364800.

The previous prime is 234211189. The next prime is 234211213. The reversal of 234211200 is 2112432.

234211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 234211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297207 + ... + 297993.

It is an arithmetic number, because the mean of its divisors is an integer number (4152760).

Almost surely, 2^234211200 is an apocalyptic number.

234211200 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 234211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398664960).

234211200 is an abundant number, since it is smaller than the sum of its proper divisors (563118720).

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

234211200 is a wasteful number, since it uses less digits than its factorization.

234211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 234211200 is about 15303.9602717728. The cubic root of 234211200 is about 616.4093529179.

Adding to 234211200 its reverse (2112432), we get a palindrome (236323632).

The spelling of 234211200 in words is "two hundred thirty-four million, two hundred eleven thousand, two hundred".