2225000000 has 126 divisors (see below), whose sum is σ = 5581051830. Its totient is φ = 880000000.

The previous prime is 2224999993. The next prime is 2225000017. The reversal of 2225000000 is 5222.

It can be written as a sum of positive squares in 9 ways, for example, as 411602944 + 1813397056 = 20288^2 + 42584^2 .

It is a sliding number, since 2225000000 = 625000000 + 1600000000 and 1/625000000 + 1/1600000000 = 0.000000002225000000.

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 17 ways as a sum of consecutive naturals, for example, 24999956 + ... + 25000044.

Almost surely, 2^2225000000 is an apocalyptic number.

2225000000 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 2225000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790525915).

2225000000 is an abundant number, since it is smaller than the sum of its proper divisors (3356051830).

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

2225000000 is an frugal number, since it uses more digits than its factorization.

2225000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2225000000 is about 47169.9056602830. The cubic root of 2225000000 is about 1305.4993856088.

Adding to 2225000000 its reverse (5222), we get a palindrome (2225005222).

The spelling of 2225000000 in words is "two billion, two hundred twenty-five million", and thus it is an aban number.