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224211112422 = 23111733312089
BaseRepresentation
bin1101000011010000000…
…1100001000111100110
3210102201122202121222220
43100310001201013212
512133141021044142
6251000130133210
722125106003413
oct3206401410746
9712648677886
10224211112422
11870a6367320
1237553a21206
13181b22937bb
14abcd79310a
155c73c672ec
hex34340611e6

224211112422 has 128 divisors (see below), whose sum is σ = 521575718400. Its totient is φ = 63722419200.

The previous prime is 224211112381. The next prime is 224211112429.

224211112422 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 224211112392 and 224211112401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224211112429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107328354 + ... + 107330442.

It is an arithmetic number, because the mean of its divisors is an integer number (4074810300).

Almost surely, 2224211112422 is an apocalyptic number.

224211112422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224211112422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260787859200).

224211112422 is an abundant number, since it is smaller than the sum of its proper divisors (297364605978).

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

224211112422 is a wasteful number, since it uses less digits than its factorization.

224211112422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2453 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 224211 and 112422, that added together give a palindrome (336633).

The spelling of 224211112422 in words is "two hundred twenty-four billion, two hundred eleven million, one hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 331 374 561 578 662 867 993 1122 1734 1986 2089 3179 3641 4178 4913 5627 6267 6358 7282 9537 9826 10923 11254 12534 14739 16881 19074 21846 22979 29478 33762 35513 45958 54043 61897 68937 71026 95659 106539 108086 123794 137874 162129 185691 191318 213078 286977 324258 371382 390643 573954 603721 691459 781286 1052249 1171929 1207442 1382918 1626203 1811163 2074377 2104498 2343858 3156747 3252406 3622326 4148754 4878609 6313494 6640931 7606049 9757218 10263257 11754803 13281862 15212098 17888233 19922793 20526514 22818147 23509606 30789771 35264409 35776466 39845586 45636294 53664699 61579542 70528818 107329398 112895827 129302833 199831651 225791654 258605666 338687481 387908499 399663302 599494953 677374962 775816998 1198989906 2198148161 3397138067 4396296322 6594444483 6794276134 10191414201 13188888966 20382828402 37368518737 74737037474 112105556211 224211112422