Search a number
-
+
2279112 = 233118997
BaseRepresentation
bin1000101100011011001000
311021210100120
420230123020
51040412422
6120503240
725241433
oct10543310
94253316
102279112
111317370
1291ab20
1361a4b4
1443481a
1530045c
hex22c6c8

2279112 has 64 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 675840.

The previous prime is 2279087. The next prime is 2279113. The reversal of 2279112 is 2119722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2279113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23448 + ... + 23544.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

22279112 is an apocalyptic number.

2279112 is a gapful number since it is divisible by the number (22) 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 2279112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2279112 is an abundant number, since it is smaller than the sum of its proper divisors (4071288).

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

2279112 is a wasteful number, since it uses less digits than its factorization.

2279112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 2279112 is about 1509.6728122345. The cubic root of 2279112 is about 131.5997979814.

It can be divided in two parts, 227 and 9112, that added together give a palindrome (9339).

The spelling of 2279112 in words is "two million, two hundred seventy-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 97 132 178 194 264 267 291 356 388 534 582 712 776 979 1067 1068 1164 1958 2134 2136 2328 2937 3201 3916 4268 5874 6402 7832 8536 8633 11748 12804 17266 23496 25608 25899 34532 51798 69064 94963 103596 189926 207192 284889 379852 569778 759704 1139556 2279112