332224000 has 160 divisors (see below), whose sum is σ = 861775200. Its totient is φ = 127590400.

The previous prime is 332223961. The next prime is 332224003. The reversal of 332224000 is 422233.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×332224000² = 220745572352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855911 + ... + 1856089.

It is an arithmetic number, because the mean of its divisors is an integer number (5386095).

Almost surely, 2^332224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430887600).

332224000 is an abundant number, since it is smaller than the sum of its proper divisors (529551200).

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

332224000 is an equidigital number, since it uses as much as digits as its factorization.

332224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 332224000 is about 18227.0129203882. The cubic root of 332224000 is about 692.5912507313.

Adding to 332224000 its reverse (422233), we get a palindrome (332646233).

The spelling of 332224000 in words is "three hundred thirty-two million, two hundred twenty-four thousand".