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2190 = 23573
BaseRepresentation
bin100010001110
310000010
4202032
532230
614050
76246
oct4216
93003
102190
111711
121326
13cc6
14b26
159b0
hex88e

2190 has 16 divisors (see below), whose sum is σ = 5328. Its totient is φ = 576.

The previous prime is 2179. The next prime is 2203. The reversal of 2190 is 912.

It can be divided in two parts, 21 and 90, that added together give a palindrome (111).

It is a happy number.

2190 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×21902 = 9592200, which contains 22 as substring.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

2190 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 66.

It is an arithmetic number, because the mean of its divisors is an integer number (333).

It is a practical number, because each smaller number is the sum of distinct divisors of 2190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664).

2190 is an abundant number, since it is smaller than the sum of its proper divisors (3138).

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

2190 is a wasteful number, since it uses less digits than its factorization.

2190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2190 is about 46.7974358272. The cubic root of 2190 is about 12.9861786044.

The spelling of 2190 in words is "two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190