2225888 has 48 divisors (see below), whose sum is σ = 5281920. Its totient is φ = 902016.

The previous prime is 2225887. The next prime is 2225959. The reversal of 2225888 is 8885222.

2225888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225887) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3995 + ... + 4517.

It is an arithmetic number, because the mean of its divisors is an integer number (110040).

2^2225888 is an apocalyptic number.

2225888 is a gapful number since it is divisible by the number (28) 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 2225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640960).

2225888 is an abundant number, since it is smaller than the sum of its proper divisors (3056032).

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

2225888 is a wasteful number, since it uses less digits than its factorization.

2225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The square root of 2225888 is about 1491.9410176009. The cubic root of 2225888 is about 130.5673037933.

It can be divided in two parts, 2225 and 888, that added together give a palindrome (3113).

The spelling of 2225888 in words is "two million, two hundred twenty-five thousand, eight hundred eighty-eight".