2229120 has 160 divisors (see below), whose sum is σ = 8145720. Its totient is φ = 580608.

The previous prime is 2229119. The next prime is 2229121. The reversal of 2229120 is 219222.

2229120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2229119) and next prime (2229121).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 2229093 and 2229102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51819 + ... + 51861.

2^2229120 is an apocalyptic number.

2229120 is a gapful number since it is divisible by the number (20) 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 2229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072860).

2229120 is an abundant number, since it is smaller than the sum of its proper divisors (5916600).

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

2229120 is an equidigital number, since it uses as much as digits as its factorization.

2229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2229120 is about 1493.0237774396. The cubic root of 2229120 is about 130.6304680144.

The spelling of 2229120 in words is "two million, two hundred twenty-nine thousand, one hundred twenty".