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2011226140 = 2257111724519
BaseRepresentation
bin111011111100000…
…1110000000011100
312012011110212121001
41313320032000130
513104333214030
6531323320044
7100561066030
oct16770160034
95164425531
102011226140
11942314a70
12481680024
132608a8051
1415117c1c0
15bb87dcca
hex77e0e01c

2011226140 has 144 divisors (see below), whose sum is σ = 5594964480. Its totient is φ = 589870080.

The previous prime is 2011226137. The next prime is 2011226149. The reversal of 2011226140 is 416221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011226149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442801 + ... + 447319.

It is an arithmetic number, because the mean of its divisors is an integer number (38853920).

Almost surely, 22011226140 is an apocalyptic number.

2011226140 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 2011226140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797482240).

2011226140 is an abundant number, since it is smaller than the sum of its proper divisors (3583738340).

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

2011226140 is a wasteful number, since it uses less digits than its factorization.

2011226140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2011226140 is about 44846.6959764039. The cubic root of 2011226140 is about 1262.2739946389.

Adding to 2011226140 its reverse (416221102), we get a palindrome (2427447242).

The spelling of 2011226140 in words is "two billion, eleven million, two hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 289 308 340 374 385 476 578 595 748 770 935 1156 1190 1309 1445 1540 1870 2023 2380 2618 2890 3179 3740 4046 4519 5236 5780 6358 6545 8092 9038 10115 12716 13090 15895 18076 20230 22253 22595 26180 31633 31790 40460 44506 45190 49709 63266 63580 76823 89012 90380 99418 111265 126532 153646 158165 198836 222530 248545 307292 316330 347963 384115 445060 497090 537761 632660 695926 768230 845053 994180 1075522 1305991 1391852 1536460 1690106 1739815 2151044 2611982 2688805 3380212 3479630 4225265 5223964 5377610 5915371 6529955 6959260 8450530 9141937 10755220 11830742 13059910 14365901 16901060 18283874 23661484 26119820 28731802 29576855 36567748 45709685 57463604 59153710 71829505 91419370 100561307 118307420 143659010 182838740 201122614 287318020 402245228 502806535 1005613070 2011226140