2022272 has 64 divisors (see below), whose sum is σ = 4806240. Its totient is φ = 829440.

The previous prime is 2022271. The next prime is 2022281. The reversal of 2022272 is 2722202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2022272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022271) 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, 33122 + ... + 33182.

2^2022272 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 2022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403120).

2022272 is an abundant number, since it is smaller than the sum of its proper divisors (2783968).

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

2022272 is an equidigital number, since it uses as much as digits as its factorization.

2022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2022272 is about 1422.0661025424. The cubic root of 2022272 is about 126.4580623062.

Adding to 2022272 its reverse (2722202), we get a palindrome (4744474).

The spelling of 2022272 in words is "two million, twenty-two thousand, two hundred seventy-two".