2202144 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 602112.

The previous prime is 2202139. The next prime is 2202149. The reversal of 2202144 is 4412022.

It is an interprime number because it is at equal distance from previous prime (2202139) and next prime (2202149).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2202149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19432 + ... + 19544.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2202144 is an apocalyptic number.

2202144 is a gapful number since it is divisible by the number (24) 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 2202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2202144 is an abundant number, since it is smaller than the sum of its proper divisors (4692576).

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

2202144 is a wasteful number, since it uses less digits than its factorization.

2202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2202144 is about 1483.9622636711. The cubic root of 2202144 is about 130.1013804840.

Adding to 2202144 its reverse (4412022), we get a palindrome (6614166).

It can be divided in two parts, 2202 and 144, that added together give a triangular number (2346 = T₆₈).

The spelling of 2202144 in words is "two million, two hundred two thousand, one hundred forty-four".