22500000000 has 297 divisors, whose sum is σ = 81091306933. Its totient is φ = 6000000000.

The previous prime is 22499999993. The next prime is 22500000007. The reversal of 22500000000 is 522.

The square root of 22500000000 is 150000.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (22499999993) and next prime (22500000007).

It can be written as a sum of positive squares in 5 ways, for example, as 129413376 + 22370586624 = 11376^2 + 149568^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22500000007) 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 32 ways as a sum of consecutive naturals, for example, 4499999998 + ... + 4500000002.

Almost surely, 2^22500000000 is an apocalyptic number.

22500000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22500000000 is the 150000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22500000000

22500000000 is an abundant number, since it is smaller than the sum of its proper divisors (58591306933).

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

22500000000 is an frugal number, since it uses more digits than its factorization.

22500000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

Adding to 22500000000 its reverse (522), we get a palindrome (22500000522).

The spelling of 22500000000 in words is "twenty-two billion, five hundred million", and thus it is an aban number.