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2164774612 = 2271113531012
BaseRepresentation
bin1000000100000111…
…1101011011010100
312120212101221111111
42001001331123110
513413140241422
6554450344404
7104434165150
oct20101753324
95525357444
102164774612
11a10a60230
12504b8b104
1328664a130
1416770c060
15ca0aea77
hex8107d6d4

2164774612 has 144 divisors (see below), whose sum is σ = 5234253696. Its totient is φ = 756288000.

The previous prime is 2164774583. The next prime is 2164774637.

2164774612 is nontrivially palindromic in base 10.

It is a congruent number.

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, 21433362 + ... + 21433462.

It is an arithmetic number, because the mean of its divisors is an integer number (36348984).

Almost surely, 22164774612 is an apocalyptic number.

2164774612 is a gapful number since it is divisible by the number (22) 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 2164774612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617126848).

2164774612 is an abundant number, since it is smaller than the sum of its proper divisors (3069479084).

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

2164774612 is a wasteful number, since it uses less digits than its factorization.

2164774612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 187 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 2164774612 is about 46527.1384462875. The cubic root of 2164774612 is about 1293.6125750954.

The spelling of 2164774612 in words is "two billion, one hundred sixty-four million, seven hundred seventy-four thousand, six hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 101 106 143 154 182 202 212 286 308 364 371 404 572 583 689 707 742 1001 1111 1166 1313 1378 1414 1484 2002 2222 2332 2626 2756 2828 4004 4081 4444 4823 5252 5353 7579 7777 8162 9191 9646 10201 10706 14443 15158 15554 16324 18382 19292 20402 21412 28886 30316 31108 36764 37471 40804 53053 57772 58883 69589 71407 74942 101101 106106 112211 117766 132613 139178 142814 149884 202202 212212 224422 235532 265226 278356 285628 404404 412181 448844 487123 530452 540653 765479 785477 824362 928291 974246 1081306 1458743 1530958 1570954 1648724 1856582 1948492 2162612 2917486 3061916 3141908 3713164 3784571 5358353 5834972 5947183 7028489 7569142 10211201 10716706 11894366 14056978 15138284 20422402 21433412 23788732 28113956 40844804 41630281 49199423 77313379 83260562 98398846 154626758 166521124 196797692 309253516 541193653 1082387306 2164774612