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2288300 = 225272467
BaseRepresentation
bin1000101110101010101100
311022020221212
420232222230
51041211200
6121013552
725310300
oct10565254
94266855
102288300
111323263
129242b8
13621731
14437d00
15303035
hex22eaac

2288300 has 54 divisors (see below), whose sum is σ = 5788692. Its totient is φ = 782880.

The previous prime is 2288291. The next prime is 2288323. The reversal of 2288300 is 38822.

2288300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4667 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

22288300 is an apocalyptic number.

2288300 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 2288300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346).

2288300 is an abundant number, since it is smaller than the sum of its proper divisors (3500392).

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

2288300 is a wasteful number, since it uses less digits than its factorization.

2288300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2288300 is about 1512.7127949482. The cubic root of 2288300 is about 131.7764044454.

The spelling of 2288300 in words is "two million, two hundred eighty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 467 490 700 934 980 1225 1868 2335 2450 3269 4670 4900 6538 9340 11675 13076 16345 22883 23350 32690 45766 46700 65380 81725 91532 114415 163450 228830 326900 457660 572075 1144150 2288300