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2268316440 = 2333513161561
BaseRepresentation
bin1000011100110011…
…1100001100011000
312212002020102012000
42013030330030120
514121142111230
61013025521000
7110132241315
oct20714741430
95762212160
102268316440
11a64450795
125337a3160
132a1c30aa0
14177381d0c
15d4213b60
hex8733c318

2268316440 has 128 divisors (see below), whose sum is σ = 8142724800. Its totient is φ = 558351360.

The previous prime is 2268316381. The next prime is 2268316441. The reversal of 2268316440 is 446138622.

2268316440 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 3 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2268316395 and 2268316404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268316441) 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, 66741 + ... + 94820.

Almost surely, 22268316440 is an apocalyptic number.

2268316440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2268316440 is an abundant number, since it is smaller than the sum of its proper divisors (5874408360).

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

2268316440 is a wasteful number, since it uses less digits than its factorization.

2268316440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161594 (or 161584 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2268316440 is about 47626.8457910032. The cubic root of 2268316440 is about 1313.9168438442.

The spelling of 2268316440 in words is "two billion, two hundred sixty-eight million, three hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 161561 323122 484683 646244 807805 969366 1292488 1454049 1615610 1938732 2100293 2423415 2908098 3231220 3877464 4200586 4362147 4846830 5816196 6300879 6462440 7270245 8401172 8724294 9693660 10501465 11632392 12601758 14540490 16802344 17448588 18902637 19387320 21002930 21810735 25203516 29080980 31504395 34897176 37805274 42005860 43621470 50407032 56707911 58161960 63008790 75610548 84011720 87242940 94513185 113415822 126017580 151221096 174485880 189026370 226831644 252035160 283539555 378052740 453663288 567079110 756105480 1134158220 2268316440