222132144 has 80 divisors (see below), whose sum is σ = 623071232. Its totient is φ = 67785984.

The previous prime is 222132101. The next prime is 222132187. The reversal of 222132144 is 441231222.

It is an interprime number because it is at equal distance from previous prime (222132101) and next prime (222132187).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 222132144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77847 + ... + 80649.

Almost surely, 2^222132144 is an apocalyptic number.

222132144 is a gapful number since it is divisible by the number (24) 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 222132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311535616).

222132144 is an abundant number, since it is smaller than the sum of its proper divisors (400939088).

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

222132144 is a wasteful number, since it uses less digits than its factorization.

222132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 222132144 is about 14904.0982283397. The cubic root of 222132144 is about 605.6250117204.

Adding to 222132144 its reverse (441231222), we get a palindrome (663363366).

The spelling of 222132144 in words is "two hundred twenty-two million, one hundred thirty-two thousand, one hundred forty-four".