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2243330320 = 245711233107
BaseRepresentation
bin1000010110110110…
…1000000100010000
312210100012222200011
42011231220010100
514043243032240
61010334204304
7106406664430
oct20555500420
95710188604
102243330320
11a51335300
12527353694
132999c2cba
14173d1a2c0
15d1e2a6ea
hex85b68110

2243330320 has 120 divisors (see below), whose sum is σ = 6552205632. Its totient is φ = 699198720.

The previous prime is 2243330317. The next prime is 2243330333. The reversal of 2243330320 is 230333422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2243330291 and 2243330300.

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 23 ways as a sum of consecutive naturals, for example, 51207 + ... + 84313.

Almost surely, 22243330320 is an apocalyptic number.

2243330320 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 2243330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276102816).

2243330320 is an abundant number, since it is smaller than the sum of its proper divisors (4308875312).

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

2243330320 is a wasteful number, since it uses less digits than its factorization.

2243330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33149 (or 33132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 2243330320 is about 47363.8081239252. The cubic root of 2243330320 is about 1309.0746373656.

Adding to 2243330320 its reverse (230333422), we get a palindrome (2473663742).

The spelling of 2243330320 in words is "two billion, two hundred forty-three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33107 33880 66214 67760 132428 165535 231749 264856 331070 364177 463498 529712 662140 728354 926996 1158745 1324280 1456708 1820885 1853992 2317490 2549239 2648560 2913416 3641770 3707984 4005947 4634980 5098478 5826832 7283540 8011894 9269960 10196956 12746195 14567080 16023788 18539920 20029735 20393912 25492390 28041629 29134160 32047576 40059470 40787824 50984780 56083258 64095152 80118940 101969560 112166516 140208145 160237880 203939120 224333032 280416290 320475760 448666064 560832580 1121665160 2243330320