Cookie Consent by FreePrivacyPolicy.com
Search a number
BaseRepresentation
bin100011101000
310010110
4203220
533110
614320
76435
oct4350
93113
102280
111793
1213a0
131065
14b8c
15a20
hex8e8

2280 has 32 divisors (see below), whose sum is σ = 7200. Its totient is φ = 576.

The previous prime is 2273. The next prime is 2281. The reversal of 2280 is 822.

2280 = T5 + T6 + ... + T23.

2280 is nontrivially palindromic in base 9 and base 16.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2280 is an undulating number in base 16.

It is a nialpdrome in base 5 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2281) 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 7 ways as a sum of consecutive naturals, for example, 111 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (225).

2280 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 2280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600).

2280 is an abundant number, since it is smaller than the sum of its proper divisors (4920).

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

2280 is a wasteful number, since it uses less digits than its factorization.

2280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2280 is about 47.7493455453. The cubic root of 2280 is about 13.1616887305.

2280 divided by its sum of digits (12) gives a triangular number (190 = T19).

It can be divided in two parts, 2 and 280, that added together give a palindrome (282).

The spelling of 2280 in words is "two thousand, two hundred eighty".