234224000 has 64 divisors (see below), whose sum is σ = 582379200. Its totient is φ = 93683200.

The previous prime is 234223999. The next prime is 234224047. The reversal of 234224000 is 422432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 234224000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8681 + ... + 23319.

It is an arithmetic number, because the mean of its divisors is an integer number (9099675).

Almost surely, 2^234224000 is an apocalyptic number.

234224000 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 234224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291189600).

234224000 is an abundant number, since it is smaller than the sum of its proper divisors (348155200).

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

234224000 is an equidigital number, since it uses as much as digits as its factorization.

234224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14668 (or 14646 counting only the distinct ones).

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

The square root of 234224000 is about 15304.3784584674. The cubic root of 234224000 is about 616.4205819510.

Adding to 234224000 its reverse (422432), we get a palindrome (234646432).

The spelling of 234224000 in words is "two hundred thirty-four million, two hundred twenty-four thousand".