132223200 has 144 divisors (see below), whose sum is σ = 442315440. Its totient is φ = 34283520.

The previous prime is 132223199. The next prime is 132223207. The reversal of 132223200 is 2322231.

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 132223200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88056 + ... + 89544.

It is an arithmetic number, because the mean of its divisors is an integer number (3071635).

Almost surely, 2^132223200 is an apocalyptic number.

132223200 is a gapful number since it is divisible by the number (10) 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 132223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221157720).

132223200 is an abundant number, since it is smaller than the sum of its proper divisors (310092240).

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

132223200 is a wasteful number, since it uses less digits than its factorization.

132223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1536 counting only the distinct ones).

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

The square root of 132223200 is about 11498.8347235709. The cubic root of 132223200 is about 509.4511588988.

Adding to 132223200 its reverse (2322231), we get a palindrome (134545431).

The spelling of 132223200 in words is "one hundred thirty-two million, two hundred twenty-three thousand, two hundred".