22100222723400 has 288 divisors, whose sum is σ = 74722203990720. Its totient is φ = 5853643200000.

The previous prime is 22100222723387. The next prime is 22100222723407. The reversal of 22100222723400 is 432722200122.

22100222723400 is a `hidden beast` number, since 2 + 2 + 10 + 0 + 2 + 227 + 23 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (22100222723407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158353650 + ... + 158493150.

It is an arithmetic number, because the mean of its divisors is an integer number (259452097190).

Almost surely, 2^{22100222723400} is an apocalyptic number.

22100222723400 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 22100222723400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37361101995360).

22100222723400 is an abundant number, since it is smaller than the sum of its proper divisors (52621981267320).

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

22100222723400 is a wasteful number, since it uses less digits than its factorization.

22100222723400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140117 (or 140105 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 22100222723400 its reverse (432722200122), we get a palindrome (22532944923522).

The spelling of 22100222723400 in words is "twenty-two trillion, one hundred billion, two hundred twenty-two million, seven hundred twenty-three thousand, four hundred".