22224132 has 120 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 6168960.

The previous prime is 22224131. The next prime is 22224149. The reversal of 22224132 is 23142222.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (22224131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92869 + ... + 93107.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 2^22224132 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 22224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

22224132 is an abundant number, since it is smaller than the sum of its proper divisors (46077948).

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

22224132 is a wasteful number, since it uses less digits than its factorization.

22224132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 22224132 is about 4714.2477660810. The cubic root of 22224132 is about 281.1522753814.

Adding to 22224132 its reverse (23142222), we get a palindrome (45366354).

The spelling of 22224132 in words is "twenty-two million, two hundred twenty-four thousand, one hundred thirty-two".