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2296785240 = 2333510192087
BaseRepresentation
bin1000100011100110…
…0010100101011000
312221001210210001000
42020321202211120
514200434111430
61015524025000
7110626231611
oct21071424530
95831723030
102296785240
11a79525822
12541232160
132a7abab29
1417b072c08
15d6988e60
hex88e62958

2296785240 has 128 divisors (see below), whose sum is σ = 7667136000. Its totient is φ = 611581824.

The previous prime is 2296785199. The next prime is 2296785247. The reversal of 2296785240 is 425876922.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296785247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099477 + ... + 1101563.

It is an arithmetic number, because the mean of its divisors is an integer number (59899500).

Almost surely, 22296785240 is an apocalyptic number.

2296785240 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 2296785240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833568000).

2296785240 is an abundant number, since it is smaller than the sum of its proper divisors (5370350760).

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

2296785240 is a wasteful number, since it uses less digits than its factorization.

2296785240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2296785240 is about 47924.7873234718. The cubic root of 2296785240 is about 1319.3908346227.

The spelling of 2296785240 in words is "two billion, two hundred ninety-six million, seven hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1019 1080 2038 2087 3057 4076 4174 5095 6114 6261 8152 8348 9171 10190 10435 12228 12522 15285 16696 18342 18783 20380 20870 24456 25044 27513 30570 31305 36684 37566 40760 41740 45855 50088 55026 56349 61140 62610 73368 75132 83480 91710 93915 110052 112698 122280 125220 137565 150264 183420 187830 220104 225396 250440 275130 281745 366840 375660 450792 550260 563490 751320 1100520 1126980 2126653 2253960 4253306 6379959 8506612 10633265 12759918 17013224 19139877 21266530 25519836 31899795 38279754 42533060 51039672 57419631 63799590 76559508 85066120 95699385 114839262 127599180 153119016 191398770 229678524 255198360 287098155 382797540 459357048 574196310 765595080 1148392620 2296785240