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22323210032106 = 23223971015503807
BaseRepresentation
bin1010001001101100001110…
…00000010001001111101010
32221001002002220000011211200
411010312013000101033222
510411220413232011411
6115251050251505030
74462540645331364
oct504660700211752
987032086004750
1022323210032106
117127247109835
122606479a58176
13c5c0ba0c34c9
145726405b1d34
1528aa27ebde56
hex144d870113ea

22323210032106 has 96 divisors (see below), whose sum is σ = 51495036622848. Its totient is φ = 6974422963200.

The previous prime is 22323210032089. The next prime is 22323210032117. The reversal of 22323210032106 is 60123001232322.

22323210032106 is a `hidden beast` number, since 2 + 2 + 3 + 232 + 100 + 321 + 0 + 6 = 666.

It is a super-3 number, since 3×223232100321063 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22323210032106.

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, 1304055 + ... + 6807861.

It is an arithmetic number, because the mean of its divisors is an integer number (536406631488).

Almost surely, 222323210032106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22323210032106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25747518311424).

22323210032106 is an abundant number, since it is smaller than the sum of its proper divisors (29171826590742).

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

22323210032106 is a wasteful number, since it uses less digits than its factorization.

22323210032106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504036 (or 5504033 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22323210032106 its reverse (60123001232322), we get a palindrome (82446211264428).

The spelling of 22323210032106 in words is "twenty-two trillion, three hundred twenty-three billion, two hundred ten million, thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 97 101 138 194 202 207 291 303 414 582 606 873 909 1746 1818 2231 2323 4462 4646 6693 6969 9797 13386 13938 19594 20079 20907 29391 40158 41814 58782 88173 176346 225331 450662 675993 1351986 2027979 4055958 5503807 11007614 16511421 33022842 49534263 99068526 126587561 253175122 379762683 533869279 555884507 759525366 1067738558 1111769014 1139288049 1601607837 1667653521 2278576098 3203215674 3335307042 4804823511 5002960563 9609647022 10005921126 12278993417 12785343661 24557986834 25570687322 36836980251 38356030983 53920797179 73673960502 76712061966 107841594358 110510940753 115068092949 161762391537 221021881506 230136185898 323524783074 485287174611 970574349222 1240178335117 2480356670234 3720535005351 7441070010702 11161605016053 22323210032106