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2223414114312 = 233435340650397
BaseRepresentation
bin100000010110101101110…
…011101111100000001000
321212120000112220210002110
4200112231303233200020
5242412023003124222
64421231120502320
7316431163100016
oct40265563574010
97776015823073
102223414114312
11787a43337686
122baab4a7a9a0
13131889686451
14798844598b6
153cc81cb230c
hex205adcef808

2223414114312 has 64 divisors (see below), whose sum is σ = 5795120738880. Its totient is φ = 710243718912.

The previous prime is 2223414114287. The next prime is 2223414114319. The reversal of 2223414114312 is 2134114143222.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2223414114312.

It is not an unprimeable number, because it can be changed into a prime (2223414114319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20270503 + ... + 20379894.

It is an arithmetic number, because the mean of its divisors is an integer number (90548761545).

Almost surely, 22223414114312 is an apocalyptic number.

It is an amenable number.

2223414114312 is an abundant number, since it is smaller than the sum of its proper divisors (3571706624568).

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

2223414114312 is a wasteful number, since it uses less digits than its factorization.

2223414114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40650502 (or 40650498 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 2223414114312 its reverse (2134114143222), we get a palindrome (4357528257534).

The spelling of 2223414114312 in words is "two trillion, two hundred twenty-three billion, four hundred fourteen million, one hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 212 258 318 344 424 516 636 1032 1272 2279 4558 6837 9116 13674 18232 27348 54696 40650397 81300794 121951191 162601588 243902382 325203176 487804764 975609528 1747967071 2154471041 3495934142 4308942082 5243901213 6463413123 6991868284 8617884164 10487802426 12926826246 13983736568 17235768328 20975604852 25853652492 41951209704 51707304984 92642254763 185284509526 277926764289 370569019052 555853528578 741138038104 1111707057156 2223414114312