2227104 has 144 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 622080.

The previous prime is 2227087. The next prime is 2227109. The reversal of 2227104 is 4017222.

2227104 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2227109) 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 23 ways as a sum of consecutive naturals, for example, 60174 + ... + 60210.

It is an arithmetic number, because the mean of its divisors is an integer number (51870).

2^2227104 is an apocalyptic number.

2227104 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 2227104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2227104 is an abundant number, since it is smaller than the sum of its proper divisors (5242176).

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

2227104 is a wasteful number, since it uses less digits than its factorization.

2227104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2227104 is about 1492.3484847716. The cubic root of 2227104 is about 130.5910757199.

The spelling of 2227104 in words is "two million, two hundred twenty-seven thousand, one hundred four".