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2289320 = 23511343
BaseRepresentation
bin1000101110111010101000
311022022100122
420232322220
51041224240
6121022412
725313255
oct10567250
94268318
102289320
111324000
12924a08
13622037
1443842c
153034b5
hex22eea8

2289320 has 64 divisors (see below), whose sum is σ = 5797440. Its totient is φ = 813120.

The previous prime is 2289281. The next prime is 2289349. The reversal of 2289320 is 239822.

2289320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2289320.

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 15 ways as a sum of consecutive naturals, for example, 53219 + ... + 53261.

It is an arithmetic number, because the mean of its divisors is an integer number (90585).

22289320 is an apocalyptic number.

2289320 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 2289320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898720).

2289320 is an abundant number, since it is smaller than the sum of its proper divisors (3508120).

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

2289320 is a wasteful number, since it uses less digits than its factorization.

2289320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2289320 is about 1513.0499000363. The cubic root of 2289320 is about 131.7959811277.

The spelling of 2289320 in words is "two million, two hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 121 172 215 220 242 344 430 440 473 484 605 860 946 968 1210 1331 1720 1892 2365 2420 2662 3784 4730 4840 5203 5324 6655 9460 10406 10648 13310 18920 20812 26015 26620 41624 52030 53240 57233 104060 114466 208120 228932 286165 457864 572330 1144660 2289320