Search a number
-
+
22142424122 = 27131011677213
BaseRepresentation
bin10100100111110010…
…101001010000111010
32010011010212200122022
4110213302221100322
5330321430032442
614101100554442
71412465333240
oct244762512072
963133780568
1022142424122
119432903a75
12435b552a22
13211b4ca810
141100a56790
15898db33d2
hex527ca943a

22142424122 has 64 divisors (see below), whose sum is σ = 41536018944. Its totient is φ = 8619782400.

The previous prime is 22142424121. The next prime is 22142424127.

22142424122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22142424091 and 22142424100.

It is not an unprimeable number, because it can be changed into a prime (22142424121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066188 + ... + 3073400.

It is an arithmetic number, because the mean of its divisors is an integer number (649000296).

Almost surely, 222142424122 is an apocalyptic number.

22142424122 is a deficient number, since it is larger than the sum of its proper divisors (19393594822).

22142424122 is a wasteful number, since it uses less digits than its factorization.

22142424122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503.

The product of its digits is 4096, while the sum is 26.

The spelling of 22142424122 in words is "twenty-two billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 7 13 14 26 91 101 167 182 202 334 707 1169 1313 1414 2171 2338 2626 4342 7213 9191 14426 15197 16867 18382 30394 33734 50491 93769 100982 118069 187538 219271 236138 438542 656383 728513 1204571 1312766 1457026 1534897 2409142 3069794 5099591 8431997 9470669 10199182 15659423 16863994 18941338 31318846 66294683 109615961 121661671 132589366 219231922 243323342 851631697 1581601723 1703263394 3163203446 11071212061 22142424122