22221342400 has 84 divisors (see below), whose sum is σ = 55109433088. Its totient is φ = 8818467840.

The previous prime is 22221342373. The next prime is 22221342421. The reversal of 22221342400 is 424312222.

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 11 ways as a sum of consecutive naturals, for example, 148522 + ... + 257878.

Almost surely, 2^22221342400 is an apocalyptic number.

22221342400 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 22221342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554716544).

22221342400 is an abundant number, since it is smaller than the sum of its proper divisors (32888090688).

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

22221342400 is a wasteful number, since it uses less digits than its factorization.

22221342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109506 (or 109491 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22221342400 its reverse (424312222), we get a palindrome (22645654622).

The spelling of 22221342400 in words is "twenty-two billion, two hundred twenty-one million, three hundred forty-two thousand, four hundred".