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2212082136 = 233411833739
BaseRepresentation
bin1000001111011001…
…1011000111011000
312201011102102020000
42003312123013120
514012243112021
61003300333000
7105550250025
oct20366330730
95634372200
102212082136
11a35732060
125189a4160
132933a1b54
1416db0454c
15ce306b26
hex83d9b1d8

2212082136 has 160 divisors (see below), whose sum is σ = 6842404800. Its totient is φ = 662074560.

The previous prime is 2212082129. The next prime is 2212082141. The reversal of 2212082136 is 6312802122.

2212082136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 589755 + ... + 593493.

It is an arithmetic number, because the mean of its divisors is an integer number (42765030).

Almost surely, 22212082136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212082136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421202400).

2212082136 is an abundant number, since it is smaller than the sum of its proper divisors (4630322664).

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

2212082136 is a wasteful number, since it uses less digits than its factorization.

2212082136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2212082136 is about 47032.7772516146. Note that the first 3 decimals coincide. The cubic root of 2212082136 is about 1302.9679989518.

Adding to 2212082136 its reverse (6312802122), we get a palindrome (8524884258).

The spelling of 2212082136 in words is "two billion, two hundred twelve million, eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 83 88 99 108 132 162 166 198 216 249 264 297 324 332 396 498 594 648 664 747 792 891 913 996 1188 1494 1782 1826 1992 2241 2376 2739 2988 3564 3652 3739 4482 5478 5976 6723 7128 7304 7478 8217 8964 10956 11217 13446 14956 16434 17928 21912 22434 24651 26892 29912 32868 33651 41129 44868 49302 53784 65736 67302 73953 82258 89736 98604 100953 123387 134604 147906 164516 197208 201906 246774 269208 295812 302859 310337 329032 370161 403812 493548 591624 605718 620674 740322 807624 931011 987096 1110483 1211436 1241348 1480644 1862022 2220966 2422872 2482696 2793033 2961288 3331449 3413707 3724044 4441932 5586066 6662898 6827414 7448088 8379099 8883864 10241121 11172132 13325796 13654828 16758198 20482242 22344264 25137297 26651592 27309656 30723363 33516396 40964484 50274594 61446726 67032792 81928968 92170089 100549188 122893452 184340178 201098376 245786904 276510267 368680356 553020534 737360712 1106041068 2212082136