22242191400 has 1296 divisors, whose sum is σ = 97808873760. Its totient is φ = 4480819200.

The previous prime is 22242191353. The next prime is 22242191441. The reversal of 22242191400 is 419124222.

22242191400 is a `hidden beast` number, since 2 + 2 + 242 + 19 + 1 + 400 = 666.

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 323 ways as a sum of consecutive naturals, for example, 967051789 + ... + 967051811.

It is an arithmetic number, because the mean of its divisors is an integer number (75469810).

Almost surely, 2^22242191400 is an apocalyptic number.

22242191400 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 22242191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48904436880).

22242191400 is an abundant number, since it is smaller than the sum of its proper divisors (75566682360).

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

22242191400 is a wasteful number, since it uses less digits than its factorization.

22242191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22242191400 in words is "twenty-two billion, two hundred forty-two million, one hundred ninety-one thousand, four hundred".