2165225000 has 96 divisors (see below), whose sum is σ = 5109282360. Its totient is φ = 860160000.

The previous prime is 2165224993. The next prime is 2165225033. The reversal of 2165225000 is 5225612.

It can be written as a sum of positive squares in 12 ways, for example, as 566344804 + 1598880196 = 23798^2 + 39986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6424832 + ... + 6425168.

Almost surely, 2^2165225000 is an apocalyptic number.

2165225000 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 2165225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554641180).

2165225000 is an abundant number, since it is smaller than the sum of its proper divisors (2944057360).

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

2165225000 is an equidigital number, since it uses as much as digits as its factorization.

2165225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2165225000 is about 46531.9782515207. The cubic root of 2165225000 is about 1293.7022822295.

The spelling of 2165225000 in words is "two billion, one hundred sixty-five million, two hundred twenty-five thousand".