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112227319 = 1719218287
BaseRepresentation
bin1101011000001…
…11001111110111
321211011201221101
412230013033313
5212212233234
615045230531
72531626231
oct654071767
9254151841
10112227319
1158393056
1231702447
131a3350c9
1410c95251
159cbc814
hex6b073f7

112227319 has 12 divisors (see below), whose sum is σ = 125419104. Its totient is φ = 100060992.

The previous prime is 112227287. The next prime is 112227331. The reversal of 112227319 is 913722211.

It is not a de Polignac number, because 112227319 - 25 = 112227287 is a prime.

It is a super-2 number, since 2×1122273192 = 25189942259855522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112227359) 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 11 ways as a sum of consecutive naturals, for example, 3007 + ... + 15280.

It is an arithmetic number, because the mean of its divisors is an integer number (10451592).

Almost surely, 2112227319 is an apocalyptic number.

112227319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

112227319 is a deficient number, since it is larger than the sum of its proper divisors (13191785).

112227319 is a wasteful number, since it uses less digits than its factorization.

112227319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18323 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 112227319 is about 10593.7396135642. The cubic root of 112227319 is about 482.3543462204.

It can be divided in two parts, 1122 and 27319, that added together give a triangular number (28441 = T238).

The spelling of 112227319 in words is "one hundred twelve million, two hundred twenty-seven thousand, three hundred nineteen".

Divisors: 1 17 19 323 361 6137 18287 310879 347453 5906701 6601607 112227319