22433030400 has 216 divisors, whose sum is σ = 80764768224. Its totient is φ = 5438259200.

The previous prime is 22433030303. The next prime is 22433030407. The reversal of 22433030400 is 403033422.

It is not an unprimeable number, because it can be changed into a prime (22433030407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158092 + ... + 264308.

It is an arithmetic number, because the mean of its divisors is an integer number (373910964).

Almost surely, 2^22433030400 is an apocalyptic number.

22433030400 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 22433030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40382384112).

22433030400 is an abundant number, since it is smaller than the sum of its proper divisors (58331737824).

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

22433030400 is a wasteful number, since it uses less digits than its factorization.

22433030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106257 (or 106238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22433030400 its reverse (403033422), we get a palindrome (22836063822).

The spelling of 22433030400 in words is "twenty-two billion, four hundred thirty-three million, thirty thousand, four hundred".