Search a number
-
+
222111111001122 = 23373079190839731
BaseRepresentation
bin110010100000001001000101…
…110111110011010000100010
31002010102121121012220002121000
4302200021011313303100202
5213103032023404013442
62104220234043012430
764532666246640330
oct6240110567632042
91063377535802530
10222111111001122
116485387a80a922
1220ab275580a116
1396c1cac536c95
143cbc3412b8b50
151aa2946805d4c
hexca0245df3422

222111111001122 has 64 divisors (see below), whose sum is σ = 564274919577600. Its totient is φ = 63439706405520.

The previous prime is 222111111001111. The next prime is 222111111001139. The reversal of 222111111001122 is 221100111111222.

It is a happy number.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222111111001095 and 222111111001104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94256004 + ... + 96583727.

It is an arithmetic number, because the mean of its divisors is an integer number (8816795618400).

Almost surely, 2222111111001122 is an apocalyptic number.

222111111001122 is an abundant number, since it is smaller than the sum of its proper divisors (342163808576478).

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

222111111001122 is a wasteful number, since it uses less digits than its factorization.

222111111001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190842828 (or 190842822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 222111111001122 its reverse (221100111111222), we get a palindrome (443211222112344).

The spelling of 222111111001122 in words is "two hundred twenty-two trillion, one hundred eleven billion, one hundred eleven million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3079 6158 9237 18474 21553 27711 43106 55422 64659 83133 129318 166266 193977 387954 581931 1163862 190839731 381679462 572519193 1145038386 1335878117 1717557579 2671756234 3435115158 4007634351 5152672737 8015268702 10305345474 12022903053 24045806106 36068709159 72137418318 587595531749 1175191063498 1762786595247 3525573190494 4113168722243 5288359785741 8226337444486 10576719571482 12339506166729 15865079357223 24679012333458 31730158714446 37018518500187 74037037000374 111055555500561 222111111001122