22223432000 has 448 divisors, whose sum is σ = 70296145920. Its totient is φ = 6757632000.

The previous prime is 22223431939. The next prime is 22223432003. The reversal of 22223432000 is 23432222.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22223432003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26487581 + ... + 26488419.

It is an arithmetic number, because the mean of its divisors is an integer number (156911040).

Almost surely, 2^22223432000 is an apocalyptic number.

22223432000 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 22223432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35148072960).

22223432000 is an abundant number, since it is smaller than the sum of its proper divisors (48072713920).

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

22223432000 is a wasteful number, since it uses less digits than its factorization.

22223432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22223432000 its reverse (23432222), we get a palindrome (22246864222).

The spelling of 22223432000 in words is "twenty-two billion, two hundred twenty-three million, four hundred thirty-two thousand".