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2271314340 = 22325195771151
BaseRepresentation
bin1000011101100001…
…1000000110100100
312212021212201112100
42013120120012210
514122424024330
61013214052100
7110166565461
oct20730300644
95767781470
102271314340
11a66109099
125347aa030
132a27404a9
14177922668
15d4607060
hex876181a4

2271314340 has 144 divisors (see below), whose sum is σ = 7271147520. Its totient is φ = 572313600.

The previous prime is 2271314333. The next prime is 2271314363. The reversal of 2271314340 is 434131722.

It is a happy number.

2271314340 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 314 + 340 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972765 + ... + 1973915.

It is an arithmetic number, because the mean of its divisors is an integer number (50494080).

Almost surely, 22271314340 is an apocalyptic number.

2271314340 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 2271314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635573760).

2271314340 is an abundant number, since it is smaller than the sum of its proper divisors (4999833180).

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

2271314340 is a wasteful number, since it uses less digits than its factorization.

2271314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2271314340 is about 47658.3081948992. The cubic root of 2271314340 is about 1314.4954311463.

The spelling of 2271314340 in words is "two billion, two hundred seventy-one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 577 684 855 1140 1151 1154 1710 1731 2302 2308 2885 3420 3453 3462 4604 5193 5755 5770 6906 6924 8655 10359 10386 10963 11510 11540 13812 17265 17310 20718 20772 21869 21926 23020 25965 32889 34530 34620 41436 43738 43852 51795 51930 54815 65607 65778 69060 87476 98667 103590 103860 109345 109630 131214 131556 164445 196821 197334 207180 218690 219260 262428 328035 328890 393642 394668 437380 493335 656070 657780 664127 787284 984105 986670 1312140 1328254 1968210 1973340 1992381 2656508 3320635 3936420 3984762 5977143 6641270 7969524 9961905 11954286 12618413 13282540 19923810 23908572 25236826 29885715 37855239 39847620 50473652 59771430 63092065 75710478 113565717 119542860 126184130 151420956 189276195 227131434 252368260 378552390 454262868 567828585 757104780 1135657170 2271314340