233214400 has 42 divisors (see below), whose sum is σ = 573857120. Its totient is φ = 93285120.

The previous prime is 233214361. The next prime is 233214403. The reversal of 233214400 is 4412332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233214403) 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 5 ways as a sum of consecutive naturals, for example, 71280 + ... + 74479.

Almost surely, 2^233214400 is an apocalyptic number.

233214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233214400 is an abundant number, since it is smaller than the sum of its proper divisors (340642720).

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

233214400 is a wasteful number, since it uses less digits than its factorization.

233214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145781 (or 145766 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 233214400 is about 15271.3588131508. The cubic root of 233214400 is about 615.5336325019.

Adding to 233214400 its reverse (4412332), we get a palindrome (237626732).

The spelling of 233214400 in words is "two hundred thirty-three million, two hundred fourteen thousand, four hundred".