2251225000 has 96 divisors (see below), whose sum is σ = 5587376760. Its totient is φ = 847360000.

The previous prime is 2251224971. The next prime is 2251225087. The reversal of 2251225000 is 5221522.

It can be written as a sum of positive squares in 12 ways, for example, as 388957284 + 1862267716 = 19722^2 + 43154^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422352 + ... + 427648.

Almost surely, 2^2251225000 is an apocalyptic number.

2251225000 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 2251225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793688380).

2251225000 is an abundant number, since it is smaller than the sum of its proper divisors (3336151760).

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

2251225000 is an equidigital number, since it uses as much as digits as its factorization.

2251225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2251225000 is about 47447.0757792301. The cubic root of 2251225000 is about 1310.6084619751.

Adding to 2251225000 its reverse (5221522), we get a palindrome (2256446522).

The spelling of 2251225000 in words is "two billion, two hundred fifty-one million, two hundred twenty-five thousand".