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2245858680 = 2335132116823
BaseRepresentation
bin1000010111011101…
…0001010101111000
312210111222102221010
42011313101111320
514044414434210
61010504313520
7106440324642
oct20567212570
95714872833
102245858680
11a5280195a
125281728a0
1329a399a80
141743b7892
15d2279920
hex85dd1578

2245858680 has 128 divisors (see below), whose sum is σ = 7291307520. Its totient is φ = 550126080.

The previous prime is 2245858639. The next prime is 2245858711. The reversal of 2245858680 is 868585422.

It is a happy number.

2245858680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325749 + ... + 332571.

It is an arithmetic number, because the mean of its divisors is an integer number (56963340).

Almost surely, 22245858680 is an apocalyptic number.

2245858680 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 2245858680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645653760).

2245858680 is an abundant number, since it is smaller than the sum of its proper divisors (5045448840).

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

2245858680 is a wasteful number, since it uses less digits than its factorization.

2245858680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 2245858680 is about 47390.4914513450. The cubic root of 2245858680 is about 1309.5662530749.

The spelling of 2245858680 in words is "two billion, two hundred forty-five million, eight hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 211 260 312 390 422 520 633 780 844 1055 1266 1560 1688 2110 2532 2743 3165 4220 5064 5486 6330 6823 8229 8440 10972 12660 13646 13715 16458 20469 21944 25320 27292 27430 32916 34115 40938 41145 54584 54860 65832 68230 81876 82290 88699 102345 109720 136460 163752 164580 177398 204690 266097 272920 329160 354796 409380 443495 532194 709592 818760 886990 1064388 1330485 1439653 1773980 2128776 2660970 2879306 3547960 4318959 5321940 5758612 7198265 8637918 10643880 11517224 14396530 17275836 18715489 21594795 28793060 34551672 37430978 43189590 56146467 57586120 74861956 86379180 93577445 112292934 149723912 172758360 187154890 224585868 280732335 374309780 449171736 561464670 748619560 1122929340 2245858680