2272116 has 48 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 589920.

The previous prime is 2272103. The next prime is 2272117. The reversal of 2272116 is 6112722.

2272116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2272116² = 10325022234912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2272092 and 2272101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272117) 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 15 ways as a sum of consecutive naturals, for example, 306 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (137760).

2^2272116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2272116 is an abundant number, since it is smaller than the sum of its proper divisors (4340364).

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

2272116 is a wasteful number, since it uses less digits than its factorization.

2272116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 2272116 is about 1507.3539730269. The cubic root of 2272116 is about 131.4650063266.

Adding to 2272116 its reverse (6112722), we get a palindrome (8384838).

Subtracting 2272116 from its reverse (6112722), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 2272116 in words is "two million, two hundred seventy-two thousand, one hundred sixteen".