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22201112111332 = 227112112831207133
BaseRepresentation
bin1010000110001000110010…
…11001101010100011100100
32220121101221200020011001211
411003010121121222203210
510402220334200030312
6115115014453401204
74450656153202030
oct503043131524344
986541850204054
1022201112111332
11708a4910067a0
1225a6883639204
13c5072c3987cb
1456a77a7a11c0
1528777dc623a7
hex14311966a8e4

22201112111332 has 96 divisors (see below), whose sum is σ = 48840371241984. Its totient is φ = 8578362844800.

The previous prime is 22201112111309. The next prime is 22201112111357. The reversal of 22201112111332 is 23311121110222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 17788038 + ... + 18995170.

It is an arithmetic number, because the mean of its divisors is an integer number (508753867104).

Almost surely, 222201112111332 is an apocalyptic number.

22201112111332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201112111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420185620992).

22201112111332 is an abundant number, since it is smaller than the sum of its proper divisors (26639259130652).

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

22201112111332 is a wasteful number, since it uses less digits than its factorization.

22201112111332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207649 (or 1207647 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 22201112111332 its reverse (23311121110222), we get a palindrome (45512233221554).

The spelling of 22201112111332 in words is "twenty-two trillion, two hundred one billion, one hundred twelve million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 211 283 308 422 566 844 1132 1477 1981 2321 2954 3113 3962 4642 5908 6226 7924 9284 12452 16247 21791 32494 43582 59713 64988 87164 119426 238852 417991 656843 835982 1207133 1313686 1671964 2414266 2627372 4597901 4828532 8449931 9195802 13278463 16899862 18391604 26556926 33799724 53113852 92949241 185898482 254705063 341618639 371796964 509410126 683237278 1018820252 1366474556 1782935441 2391330473 2801755693 3565870882 3757805029 4782660946 5603511386 7131741764 7515610058 9565321892 11207022772 15031220116 19612289851 26304635203 39224579702 52609270406 72081532829 78449159404 105218540812 144163065658 288326131316 504570729803 792896861119 1009141459606 1585793722238 2018282919212 3171587444476 5550278027833 11100556055666 22201112111332