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2289840 = 243572947
BaseRepresentation
bin1000101111000010110000
311022100001220
420233002300
51041233330
6121025040
725314630
oct10570260
94270056
102289840
111324433
12925180
13622347
144386c0
15303710
hex22f0b0

2289840 has 160 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 494592.

The previous prime is 2289839. The next prime is 2289841. The reversal of 2289840 is 489822.

It is an interprime number because it is at equal distance from previous prime (2289839) and next prime (2289841).

It is not an unprimeable number, because it can be changed into a prime (2289841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48697 + ... + 48743.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

22289840 is an apocalyptic number.

2289840 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 2289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

2289840 is an abundant number, since it is smaller than the sum of its proper divisors (6281040).

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

2289840 is a wasteful number, since it uses less digits than its factorization.

2289840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2289840 is about 1513.2217286307. The cubic root of 2289840 is about 131.8059591593.

The spelling of 2289840 in words is "two million, two hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 47 48 56 58 60 70 80 84 87 94 105 112 116 120 140 141 145 168 174 188 203 210 232 235 240 280 282 290 329 336 348 376 406 420 435 464 470 560 564 580 609 658 696 705 752 812 840 870 940 987 1015 1128 1160 1218 1316 1363 1392 1410 1624 1645 1680 1740 1880 1974 2030 2256 2320 2436 2632 2726 2820 3045 3248 3290 3480 3760 3948 4060 4089 4872 4935 5264 5452 5640 6090 6580 6815 6960 7896 8120 8178 9541 9744 9870 10904 11280 12180 13160 13630 15792 16240 16356 19082 19740 20445 21808 24360 26320 27260 28623 32712 38164 39480 40890 47705 48720 54520 57246 65424 76328 78960 81780 95410 109040 114492 143115 152656 163560 190820 228984 286230 327120 381640 457968 572460 763280 1144920 2289840