234022400 has 120 divisors (see below), whose sum is σ = 593667360. Its totient is φ = 91381760.

The previous prime is 234022339. The next prime is 234022403. The reversal of 234022400 is 4220432.

234022400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234022403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601406 + ... + 601794.

It is an arithmetic number, because the mean of its divisors is an integer number (4947228).

Almost surely, 2^234022400 is an apocalyptic number.

234022400 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 234022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296833680).

234022400 is an abundant number, since it is smaller than the sum of its proper divisors (359644960).

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

234022400 is an equidigital number, since it uses as much as digits as its factorization.

234022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 234022400 is about 15297.7906901618. The cubic root of 234022400 is about 616.2436771360.

Adding to 234022400 its reverse (4220432), we get a palindrome (238242832).

The spelling of 234022400 in words is "two hundred thirty-four million, twenty-two thousand, four hundred".