332221200 has 120 divisors (see below), whose sum is σ = 1110577728. Its totient is φ = 84733440.

The previous prime is 332221199. The next prime is 332221207. The reversal of 332221200 is 2122233.

332221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×332221200² = 220741851458880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 332221200.

It is not an unprimeable number, because it can be changed into a prime (332221207) 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 23 ways as a sum of consecutive naturals, for example, 21582 + ... + 33618.

Almost surely, 2^332221200 is an apocalyptic number.

332221200 is a gapful number since it is divisible by the number (30) 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 332221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555288864).

332221200 is an abundant number, since it is smaller than the sum of its proper divisors (778356528).

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

332221200 is a wasteful number, since it uses less digits than its factorization.

332221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 332221200 is about 18226.9361111515. The cubic root of 332221200 is about 692.5893049949.

Adding to 332221200 its reverse (2122233), we get a palindrome (334343433).

The spelling of 332221200 in words is "three hundred thirty-two million, two hundred twenty-one thousand, two hundred".