2252272 has 40 divisors (see below), whose sum is σ = 4856832. Its totient is φ = 1003200.

The previous prime is 2252251. The next prime is 2252273. The reversal of 2252272 is 2722522.

It is a happy number.

2252272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2² + 2⁷ + 5⁹ + 2¹² + 2¹⁵ + 7 + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11697 + ... + 11887.

2^2252272 is an apocalyptic number.

2252272 is a gapful number since it is divisible by the number (22) 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 2252272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428416).

2252272 is an abundant number, since it is smaller than the sum of its proper divisors (2604560).

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

2252272 is a wasteful number, since it uses less digits than its factorization.

2252272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 2252272 is about 1500.7571422452. The cubic root of 2252272 is about 131.0811609800.

Adding to 2252272 its reverse (2722522), we get a palindrome (4974794).

The spelling of 2252272 in words is "two million, two hundred fifty-two thousand, two hundred seventy-two".