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2212011340 = 2257118916139
BaseRepresentation
bin1000001111011000…
…1001110101001100
312201011021211002221
42003312021311030
514012233330330
61003255025124
7105546533440
oct20366116514
95634254087
102212011340
11a35693950
1251896b1a4
13293378866
1416dac6820
15ce2e0b7a
hex83d89d4c

2212011340 has 96 divisors (see below), whose sum is σ = 5856883200. Its totient is φ = 681669120.

The previous prime is 2212011311. The next prime is 2212011371. The reversal of 2212011340 is 431102122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128991 + ... + 145129.

It is an arithmetic number, because the mean of its divisors is an integer number (61009200).

Almost surely, 22212011340 is an apocalyptic number.

2212011340 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 2212011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928441600).

2212011340 is an abundant number, since it is smaller than the sum of its proper divisors (3644871860).

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

2212011340 is a wasteful number, since it uses less digits than its factorization.

2212011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16255 (or 16253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2212011340 is about 47032.0246215278. The cubic root of 2212011340 is about 1302.9540986381.

Adding to 2212011340 its reverse (431102122), we get a palindrome (2643113462).

The spelling of 2212011340 in words is "two billion, two hundred twelve million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 16139 19580 27412 32278 34265 64556 68530 80695 112973 137060 161390 177529 225946 322780 355058 451892 564865 710116 887645 1129730 1242703 1436371 1775290 2259460 2485406 2872742 3550580 4970812 5745484 6213515 7181855 10054597 12427030 14363710 15800081 20109194 24854060 28727420 31600162 40218388 50272985 63200324 79000405 100545970 110600567 158000810 201091940 221201134 316001620 442402268 553002835 1106005670 2212011340