22205145600 has 1080 divisors, whose sum is σ = 92117385360. Its totient is φ = 5291827200.

The previous prime is 22205145593. The next prime is 22205145617. The reversal of 22205145600 is 654150222.

22205145600 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 51 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×22205145600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 376358371 + ... + 376358429.

Almost surely, 2^22205145600 is an apocalyptic number.

22205145600 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 22205145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46058692680).

22205145600 is an abundant number, since it is smaller than the sum of its proper divisors (69912239760).

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

22205145600 is an equidigital number, since it uses as much as digits as its factorization.

22205145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22205145600 its reverse (654150222), we get a palindrome (22859295822).

The spelling of 22205145600 in words is "twenty-two billion, two hundred five million, one hundred forty-five thousand, six hundred".