Search a number
-
+
22010200212112 = 24717151290926317
BaseRepresentation
bin1010000000100101001100…
…01010100100001010010000
32212221011011200210211010121
411000102212022210022100
510341103342223241422
6114451202453040024
74431120164631460
oct500224612441220
985834150724117
1022010200212112
117016523240192
122575883626014
13c38725b65278
145614296a9ba0
152828085bd8c7
hex1404a62a4290

22010200212112 has 160 divisors (see below), whose sum is σ = 51965324720640. Its totient is φ = 8815902105600.

The previous prime is 22010200212079. The next prime is 22010200212151. The reversal of 22010200212112 is 21121200201022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 836335978 + ... + 836362294.

It is an arithmetic number, because the mean of its divisors is an integer number (324783279504).

Almost surely, 222010200212112 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 22010200212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25982662360320).

22010200212112 is an abundant number, since it is smaller than the sum of its proper divisors (29955124508528).

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

22010200212112 is a wasteful number, since it uses less digits than its factorization.

22010200212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29409 (or 29403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22010200212112 its reverse (21121200201022), we get a palindrome (43131400413134).

The spelling of 22010200212112 in words is "twenty-two trillion, ten billion, two hundred million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 151 238 272 302 476 604 952 1057 1208 1904 2114 2416 2567 2909 4228 5134 5818 8456 10268 11636 16912 17969 20363 20536 23272 26317 35938 40726 41072 46544 49453 52634 71876 81452 98906 105268 143752 162904 184219 197812 210536 287504 325808 346171 368438 395624 421072 439259 447389 692342 736876 791248 878518 894778 1384684 1473752 1757036 1789556 2769368 2947504 3074813 3131723 3514072 3579112 3973867 5538736 6149626 6263446 7028144 7158224 7467403 7947734 12299252 12526892 14934806 15895468 24598504 25053784 27817069 29869612 31790936 49197008 50107568 52271821 55634138 59739224 63581872 67555739 76556153 104543642 111268276 119478448 135111478 153112306 209087284 222536552 270222956 306224612 418174568 445073104 472890173 535893071 540445912 612449224 836349136 945780346 1071786142 1080891824 1224898448 1301454601 1891560692 2143572284 2602909202 3783121384 4287144568 5205818404 7566242768 8574289136 9110182207 10411636808 11559979103 18220364414 20823273616 23119958206 36440728828 46239916412 72881457656 80919853721 92479832824 145762915312 161839707442 184959665648 196519644751 323679414884 393039289502 647358829768 786078579004 1294717659536 1375637513257 1572157158008 2751275026514 3144314316016 5502550053028 11005100106056 22010200212112