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22202001221112 = 233213120291160129
BaseRepresentation
bin1010000110001010011100…
…11001010110010111111000
32220121111020122020121101200
411003011032121112113320
510402224144303033422
6115115243014214200
74451020200412566
oct503051631262770
986544218217350
1022202001221112
11708a8a7980069
1225a6a91354360
13c5084164b37b
1456a8228c4a36
152877d1d3c2ac
hex14314e6565f8

22202001221112 has 96 divisors (see below), whose sum is σ = 60619344786000. Its totient is φ = 7340547502080.

The previous prime is 22202001221111. The next prime is 22202001221123. The reversal of 22202001221112 is 21112210020222.

It is a happy number.

It is a super-2 number, since 2×222020012211122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202001221111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18557464 + ... + 19717592.

Almost surely, 222202001221112 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 22202001221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30309672393000).

22202001221112 is an abundant number, since it is smaller than the sum of its proper divisors (38417343564888).

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

22202001221112 is a wasteful number, since it uses less digits than its factorization.

22202001221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162301 (or 1162294 counting only the distinct ones).

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

Adding to 22202001221112 its reverse (21112210020222), we get a palindrome (43314211241334).

The spelling of 22202001221112 in words is "twenty-two trillion, two hundred two billion, one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2029 2358 3144 4058 4716 6087 8116 9432 12174 16232 18261 24348 36522 48696 73044 146088 265799 531598 797397 1063196 1160129 1594794 2126392 2320258 2392191 3189588 3480387 4640516 4784382 6379176 6960774 9281032 9568764 10441161 13921548 19137528 20882322 27843096 41764644 83529288 151976899 303953798 455930697 607907596 911861394 1215815192 1367792091 1823722788 2353901741 2735584182 3647445576 4707803482 5471168364 7061705223 9415606964 10942336728 14123410446 18831213928 21185115669 28246820892 42370231338 56493641784 84740462676 169480925352 308361128071 616722256142 925083384213 1233444512284 1850166768426 2466889024568 2775250152639 3700333536852 5550500305278 7400667073704 11101000610556 22202001221112