Search a number
-
+
2271575680 = 275112314029
BaseRepresentation
bin1000011101100101…
…0111111010000000
312212022101000000121
42013121113322000
514123010410210
61013223430024
7110202034423
oct20731277200
95768330017
102271575680
11a66277480
125348b5314
132a280242a
1417798d9ba
15d46596da
hex87657e80

2271575680 has 128 divisors (see below), whose sum is σ = 6182179200. Its totient is φ = 790056960.

The previous prime is 2271575671. The next prime is 2271575701. The reversal of 2271575680 is 865751722.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154906 + ... + 168934.

It is an arithmetic number, because the mean of its divisors is an integer number (48298275).

Almost surely, 22271575680 is an apocalyptic number.

2271575680 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 2271575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091089600).

2271575680 is an abundant number, since it is smaller than the sum of its proper divisors (3910603520).

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

2271575680 is a wasteful number, since it uses less digits than its factorization.

2271575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14070 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 2271575680 is about 47661.0499254895. The cubic root of 2271575680 is about 1314.5458449904.

The spelling of 2271575680 in words is "two billion, two hundred seventy-one million, five hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1408 1472 1760 1840 2024 2530 2944 3520 3680 4048 5060 7040 7360 8096 10120 14029 14720 16192 20240 28058 32384 40480 56116 70145 80960 112232 140290 154319 161920 224464 280580 308638 322667 448928 561160 617276 645334 771595 897856 1122320 1234552 1290668 1543190 1613335 1795712 2244640 2469104 2581336 3086380 3226670 3549337 4489280 4938208 5162672 6172760 6453340 7098674 8978560 9876416 10325344 12345520 12906680 14197348 17746685 19752832 20650688 24691040 25813360 28394696 35493370 41301376 49382080 51626720 56789392 70986740 98764160 103253440 113578784 141973480 206506880 227157568 283946960 454315136 567893920 1135787840 2271575680