232224000 has 288 divisors, whose sum is σ = 803537280. Its totient is φ = 59392000.

The previous prime is 232223989. The next prime is 232224001. The reversal of 232224000 is 422232.

232224000 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 (15).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3935971 + ... + 3936029.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^232224000 is an apocalyptic number.

232224000 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 232224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

232224000 is an abundant number, since it is smaller than the sum of its proper divisors (571313280).

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

232224000 is an equidigital number, since it uses as much as digits as its factorization.

232224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 232224000 is about 15238.8975979235. The cubic root of 232224000 is about 614.6610598493.

Adding to 232224000 its reverse (422232), we get a palindrome (232646232).

The spelling of 232224000 in words is "two hundred thirty-two million, two hundred twenty-four thousand".