22203002400 has 144 divisors (see below), whose sum is σ = 72331870464. Its totient is φ = 5915796480.

The previous prime is 22203002357. The next prime is 22203002431. The reversal of 22203002400 is 420030222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22203002400.

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 23 ways as a sum of consecutive naturals, for example, 3484017 + ... + 3490383.

It is an arithmetic number, because the mean of its divisors is an integer number (502304656).

Almost surely, 2^22203002400 is an apocalyptic number.

22203002400 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 22203002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36165935232).

22203002400 is an abundant number, since it is smaller than the sum of its proper divisors (50128868064).

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

22203002400 is a wasteful number, since it uses less digits than its factorization.

22203002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22203002400 its reverse (420030222), we get a palindrome (22623032622).

The spelling of 22203002400 in words is "twenty-two billion, two hundred three million, two thousand, four hundred".