22005126 has 96 divisors (see below), whose sum is σ = 57238272. Its totient is φ = 6022080.

The previous prime is 22005107. The next prime is 22005127. The reversal of 22005126 is 62150022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22005099 and 22005108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005127) 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 47 ways as a sum of consecutive naturals, for example, 213591 + ... + 213693.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^22005126 is an apocalyptic number.

22005126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22005126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136).

22005126 is an abundant number, since it is smaller than the sum of its proper divisors (35233146).

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

22005126 is a wasteful number, since it uses less digits than its factorization.

22005126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22005126 is about 4690.9621614334. The cubic root of 22005126 is about 280.2256938810.

Adding to 22005126 its reverse (62150022), we get a palindrome (84155148).

Subtracting 22005126 from its reverse (62150022), we obtain a square (40144896 = 6336²).

The spelling of 22005126 in words is "twenty-two million, five thousand, one hundred twenty-six".