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22131312 = 243765867
BaseRepresentation
bin101010001101…
…1001001110000
31112122101110020
41110123021300
521131200222
62110203440
7356053530
oct124331160
945571406
1022131312
1111546645
1274b3580
13477b568
142d214c0
151e2265c
hex151b270

22131312 has 40 divisors (see below), whose sum is σ = 65341056. Its totient is φ = 6323136.

The previous prime is 22131289. The next prime is 22131397. The reversal of 22131312 is 21313122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22131291 and 22131300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32598 + ... + 33269.

Almost surely, 222131312 is an apocalyptic number.

It is an amenable number.

22131312 is an abundant number, since it is smaller than the sum of its proper divisors (43209744).

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

22131312 is a wasteful number, since it uses less digits than its factorization.

22131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65885 (or 65879 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 22131312 is about 4704.3928407394. The cubic root of 22131312 is about 280.7603145188.

Adding to 22131312 its reverse (21313122), we get a palindrome (43444434).

It can be divided in two parts, 2 and 2131312, that multiplied together give a palindrome (4262624).

The spelling of 22131312 in words is "twenty-two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 65867 131734 197601 263468 395202 461069 526936 790404 922138 1053872 1383207 1580808 1844276 2766414 3161616 3688552 5532828 7377104 11065656 22131312