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22114312434 = 2324153565381
BaseRepresentation
bin10100100110000111…
…011010000011110010
32010002011222110122200
4110212013122003302
5330242230444214
614054214244030
71412004361044
oct244607320362
963064873580
1022114312434
119418a53275
124352056616
132115737196
1410db019a94
158966add09
hex5261da0f2

22114312434 has 48 divisors (see below), whose sum is σ = 50009168664. Its totient is φ = 7055942400.

The previous prime is 22114312433. The next prime is 22114312483. The reversal of 22114312434 is 43421341122.

22114312434 is a `hidden beast` number, since 2 + 211 + 4 + 3 + 12 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8842581225 + 13271731209 = 94035^2 + 115203^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22114312398 and 22114312407.

It is not an unprimeable number, because it can be changed into a prime (22114312433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243577 + ... + 321804.

Almost surely, 222114312434 is an apocalyptic number.

22114312434 is an abundant number, since it is smaller than the sum of its proper divisors (27894856230).

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

22114312434 is a wasteful number, since it uses less digits than its factorization.

22114312434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565483 (or 565480 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22114312434 its reverse (43421341122), we get a palindrome (65535653556).

The spelling of 22114312434 in words is "twenty-two billion, one hundred fourteen million, three hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 53 82 106 123 159 246 318 369 477 738 954 2173 4346 6519 13038 19557 39114 565381 1130762 1696143 3392286 5088429 10176858 23180621 29965193 46361242 59930386 69541863 89895579 139083726 179791158 208625589 269686737 417251178 539373474 1228572913 2457145826 3685718739 7371437478 11057156217 22114312434