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2296160 = 255113127
BaseRepresentation
bin1000110000100101100000
311022122201222
420300211200
51041434120
6121114212
725342226
oct10604540
94278658
102296160
111329159
12928968
13625199
1443ab16
15305525
hex230960

2296160 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 903168.

The previous prime is 2296127. The next prime is 2296163. The reversal of 2296160 is 616922.

2296160 = T83 + T84 + ... + T242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18017 + ... + 18143.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22296160 is an apocalyptic number.

2296160 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 2296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2296160 is an abundant number, since it is smaller than the sum of its proper divisors (3219616).

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

2296160 is a wasteful number, since it uses less digits than its factorization.

2296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2296160 is about 1515.3085494380. The cubic root of 2296160 is about 131.9271100486.

The spelling of 2296160 in words is "two million, two hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 127 160 226 254 452 508 565 635 904 1016 1130 1270 1808 2032 2260 2540 3616 4064 4520 5080 9040 10160 14351 18080 20320 28702 57404 71755 114808 143510 229616 287020 459232 574040 1148080 2296160