22145200000 has 384 divisors, whose sum is σ = 68845593600. Its totient is φ = 6892800000.

The previous prime is 22145199983. The next prime is 22145200001. The reversal of 22145200000 is 254122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30799641 + ... + 30800359.

It is an arithmetic number, because the mean of its divisors is an integer number (179285400).

Almost surely, 2^22145200000 is an apocalyptic number.

22145200000 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 22145200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422796800).

22145200000 is an abundant number, since it is smaller than the sum of its proper divisors (46700393600).

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

22145200000 is an frugal number, since it uses more digits than its factorization.

22145200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 22145200000 its reverse (254122), we get a palindrome (22145454122).

The spelling of 22145200000 in words is "twenty-two billion, one hundred forty-five million, two hundred thousand".