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22132213110 = 2325783423259
BaseRepresentation
bin10100100111001011…
…101100010101110110
32010010102122220202200
4110213023230111312
5330311321304420
614100054045330
71412312464440
oct244713542566
963112586680
1022132213110
11942806a317
124358049846
132119363bb7
1410dd559490
15898047b90
hex5272ec576

22132213110 has 96 divisors (see below), whose sum is σ = 66556788480. Its totient is φ = 4997830464.

The previous prime is 22132213009. The next prime is 22132213121. The reversal of 22132213110 is 1131223122.

22132213110 is a `hidden beast` number, since 221 + 322 + 13 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159340 + ... + 263919.

It is an arithmetic number, because the mean of its divisors is an integer number (693299880).

Almost surely, 222132213110 is an apocalyptic number.

22132213110 is an abundant number, since it is smaller than the sum of its proper divisors (44424575370).

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

22132213110 is a wasteful number, since it uses less digits than its factorization.

22132213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423362 (or 423359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22132213110 its reverse (1131223122), we get a palindrome (23263436232).

It can be divided in two parts, 221322 and 13110, that added together give a palindrome (234432).

The spelling of 22132213110 in words is "twenty-two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2490 2905 3486 3735 5229 5810 7470 8715 10458 17430 26145 52290 423259 846518 1269777 2116295 2539554 2962813 3809331 4232590 5925626 6348885 7618662 8888439 12697770 14814065 17776878 19046655 26665317 29628130 35130497 38093310 44442195 53330634 70260994 88884390 105391491 133326585 175652485 210782982 245913479 266653170 316174473 351304970 491826958 526957455 632348946 737740437 1053914910 1229567395 1475480874 1580872365 2213221311 2459134790 3161744730 3688702185 4426442622 7377404370 11066106555 22132213110