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2212313140 = 2252931711733
BaseRepresentation
bin1000001111011101…
…0011100000110100
312201011212011002201
42003313103200310
514012323010030
61003305314244
7105552231352
oct20367234064
95634764081
102212313140
11a3587a674
12518a95984
1329345303b
1416db647d2
15ce3502ca
hex83dd3834

2212313140 has 96 divisors (see below), whose sum is σ = 5033871360. Its totient is φ = 814732800.

The previous prime is 2212313119. The next prime is 2212313141. The reversal of 2212313140 is 413132122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212313141) 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, 1275714 + ... + 1277446.

It is an arithmetic number, because the mean of its divisors is an integer number (52436160).

Almost surely, 22212313140 is an apocalyptic number.

2212313140 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 2212313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516935680).

2212313140 is an abundant number, since it is smaller than the sum of its proper divisors (2821558220).

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

2212313140 is a wasteful number, since it uses less digits than its factorization.

2212313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2212313140 is about 47035.2329642365. The cubic root of 2212313140 is about 1303.0133529553.

Adding to 2212313140 its reverse (413132122), we get a palindrome (2625445262).

The spelling of 2212313140 in words is "two billion, two hundred twelve million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 71 116 124 142 145 155 284 290 310 355 580 620 710 899 1420 1733 1798 2059 2201 3466 3596 4118 4402 4495 6932 8236 8665 8804 8990 10295 11005 17330 17980 20590 22010 34660 41180 44020 50257 53723 63829 100514 107446 123043 127658 201028 214892 246086 251285 255316 268615 319145 492172 502570 537230 615215 638290 1005140 1074460 1230430 1276580 1557967 2460860 3115934 3568247 3814333 6231868 7136494 7628666 7789835 14272988 15257332 15579670 17841235 19071665 31159340 35682470 38143330 71364940 76286660 110615657 221231314 442462628 553078285 1106156570 2212313140