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22000013112222 = 232172332831090333
BaseRepresentation
bin1010000000010010001101…
…11101110111001110011110
32212220011212201222112012200
411000021012331313032132
510340422011324042342
6114442355544112330
74430306556001005
oct500110675671636
985804781875180
1022000013112222
117012175954272
1225738bba656a6
13c37791489402
14560b40761c3c
1528240e0a394c
hex140246f7739e

22000013112222 has 96 divisors (see below), whose sum is σ = 50866383885408. Its totient is φ = 6848052553728.

The previous prime is 22000013112197. The next prime is 22000013112227. The reversal of 22000013112222 is 22221131000022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22000013112195 and 22000013112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000013112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19632168 + ... + 20722500.

It is an arithmetic number, because the mean of its divisors is an integer number (529858165473).

Almost surely, 222000013112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000013112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433191942704).

22000013112222 is an abundant number, since it is smaller than the sum of its proper divisors (28866370773186).

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

22000013112222 is a wasteful number, since it uses less digits than its factorization.

22000013112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090874 (or 1090871 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22000013112222 its reverse (22221131000022), we get a palindrome (44221144112244).

The spelling of 22000013112222 in words is "twenty-two trillion, thirteen million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 233 283 306 466 566 699 849 1398 1698 2097 2547 3961 4194 4811 5094 7922 9622 11883 14433 23766 28866 35649 43299 65939 71298 86598 131878 197817 395634 593451 1090333 1120963 1186902 2180666 2241926 3270999 3362889 6541998 6725778 9812997 10088667 18535661 19625994 20177334 37071322 55606983 111213966 166820949 254047589 308564239 333641898 508095178 617128478 762142767 925692717 1524285534 1851385434 2286428301 2777078151 4318809013 4572856602 5245592063 5554156302 8637618026 10491184126 12956427039 15736776189 25912854078 31473552378 38869281117 47210328567 71895467687 77738562234 94420657134 143790935374 215686403061 431372806122 647059209183 1222222950679 1294118418366 2444445901358 3666668852037 7333337704074 11000006556111 22000013112222