22221433200 has 120 divisors (see below), whose sum is σ = 71320776448. Its totient is φ = 5914218240.

The previous prime is 22221433181. The next prime is 22221433207. The reversal of 22221433200 is 233412222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221433207) 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, 609897 + ... + 645303.

Almost surely, 2^22221433200 is an apocalyptic number.

22221433200 is a gapful number since it is divisible by the number (20) 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 22221433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35660388224).

22221433200 is an abundant number, since it is smaller than the sum of its proper divisors (49099343248).

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

22221433200 is a wasteful number, since it uses less digits than its factorization.

22221433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35951 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22221433200 its reverse (233412222), we get a palindrome (22454845422).

The spelling of 22221433200 in words is "twenty-two billion, two hundred twenty-one million, four hundred thirty-three thousand, two hundred".