Search a number
-
+
212185572088 = 237231633133229
BaseRepresentation
bin1100010110011100111…
…1101110001011111000
3202021200120120212220011
43011213033232023320
511434024001301323
6241250545111304
721221104414150
oct3054717561370
9667616525804
10212185572088
1181a95250936
1235158628534
1317016a58b69
14a3ac607760
1557bd14e20d
hex31673ee2f8

212185572088 has 128 divisors (see below), whose sum is σ = 479036390400. Its totient is φ = 86146384896.

The previous prime is 212185572077. The next prime is 212185572113. The reversal of 212185572088 is 880275581212.

It is a congruent number.

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, 65710858 + ... + 65714086.

It is an arithmetic number, because the mean of its divisors is an integer number (3742471800).

Almost surely, 2212185572088 is an apocalyptic number.

212185572088 is a gapful number since it is divisible by the number (28) 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 212185572088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239518195200).

212185572088 is an abundant number, since it is smaller than the sum of its proper divisors (266850818312).

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

212185572088 is a wasteful number, since it uses less digits than its factorization.

212185572088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 49.

The spelling of 212185572088 in words is "two hundred twelve billion, one hundred eighty-five million, five hundred seventy-two thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 163 184 313 322 326 626 644 652 1141 1252 1288 1304 2191 2282 2504 3229 3749 4382 4564 6458 7199 7498 8764 9128 12916 14398 14996 17528 22603 25832 26243 28796 29992 45206 50393 51019 52486 57592 74267 90412 100786 102038 104972 148534 180824 201572 204076 209944 297068 357133 403144 408152 519869 526327 594136 714266 1010677 1039738 1052654 1173437 1428532 2021354 2079476 2105308 2346874 2857064 3684289 4042708 4158952 4210616 4693748 7074739 7368578 8085416 8214059 9387496 12105521 14149478 14737156 16428118 23245571 24211042 28298956 29474312 32856236 46491142 48422084 56597912 65712472 84738647 92982284 96844168 162718997 164740351 169477294 185964568 325437994 329480702 338954588 650875988 658961404 677909176 1153182457 1301751976 1317922808 2306364914 3789028073 4612729828 7578056146 9225459656 15156112292 26523196511 30312224584 53046393022 106092786044 212185572088