Search a number
-
+
22012200212112 = 24321153262199831
BaseRepresentation
bin1010000000101000111010…
…10111111101011010010000
32212221100100002011100100200
411000110131113331122100
510341121441223241422
6114452133140015200
74431220561433325
oct500243527753220
985840302140320
1022012200212112
11701735a187850
122576141391500
13c3898430c616
14561579164b4c
152828c3e812ac
hex14051d5fd690

22012200212112 has 120 divisors (see below), whose sum is σ = 68471912927808. Its totient is φ = 6544507756800.

The previous prime is 22012200212089. The next prime is 22012200212173. The reversal of 22012200212112 is 21121200221022.

It is a happy number.

22012200212112 is a `hidden beast` number, since 220 + 1 + 220 + 0 + 212 + 1 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131015964 + ... + 131183867.

Almost surely, 222012200212112 is an apocalyptic number.

22012200212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22012200212112 is an abundant number, since it is smaller than the sum of its proper divisors (46459712715696).

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

22012200212112 is a wasteful number, since it uses less digits than its factorization.

22012200212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262199909 (or 262199900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22012200212112 its reverse (21121200221022), we get a palindrome (43133400433134).

The spelling of 22012200212112 in words is "twenty-two trillion, twelve billion, two hundred million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 528 583 636 792 848 954 1166 1272 1584 1749 1908 2332 2544 3498 3816 4664 5247 6996 7632 9328 10494 13992 20988 27984 41976 83952 262199831 524399662 786599493 1048799324 1573198986 2097598648 2359798479 2884198141 3146397972 4195197296 4719596958 5768396282 6292795944 8652594423 9439193916 11536792564 12585591888 13896591043 17305188846 18878387832 23073585128 25957783269 27793182086 34610377692 37756775664 41689773129 46147170256 51915566538 55586364172 69220755384 83379546258 103831133076 111172728344 125069319387 138441510768 152862501473 166759092516 207662266152 222345456688 250138638774 305725002946 333518185032 415324532304 458587504419 500277277548 611450005892 667036370064 917175008838 1000554555096 1222900011784 1375762513257 1834350017676 2001109110192 2445800023568 2751525026514 3668700035352 5503050053028 7337400070704 11006100106056 22012200212112