2272238224 has 45 divisors (see below), whose sum is σ = 4683344251. Its totient is φ = 1067763200.

The previous prime is 2272238209. The next prime is 2272238237. The reversal of 2272238224 is 4228322722.

The square root of 2272238224 is 47668.

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

2272238224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 944947600 + 1327290624 = 30740^2 + 36432^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2272238224.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3241074 + ... + 3241774.

Almost surely, 2^2272238224 is an apocalyptic number.

2272238224 is the 47668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272238224

2272238224 is an abundant number, since it is smaller than the sum of its proper divisors (2411106027).

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

2272238224 is an frugal number, since it uses more digits than its factorization.

2272238224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 720 counting only the distinct ones).

The product of its digits is 43008, while the sum is 34.

The cubic root of 2272238224 is about 1314.6736358463.

The spelling of 2272238224 in words is "two billion, two hundred seventy-two million, two hundred thirty-eight thousand, two hundred twenty-four".