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112312266 = 231123241307
BaseRepresentation
bin1101011000110…
…11111111001010
321211100001110120
412230123333022
5212222443031
615051124110
72532432003
oct654337712
9254301416
10112312266
1158440960
1231743636
131a364981
1410cb81aa
159cd7a96
hex6b1bfca

112312266 has 64 divisors (see below), whose sum is σ = 257596416. Its totient is φ = 32313600.

The previous prime is 112312241. The next prime is 112312271. The reversal of 112312266 is 662213211.

It is a super-2 number, since 2×1123122662 = 25228090188109512, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 365685 + ... + 365991.

It is an arithmetic number, because the mean of its divisors is an integer number (4024944).

Almost surely, 2112312266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128798208).

112312266 is an abundant number, since it is smaller than the sum of its proper divisors (145284150).

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

112312266 is a wasteful number, since it uses less digits than its factorization.

112312266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its digits is 864, while the sum is 24.

The square root of 112312266 is about 10597.7481570379. The cubic root of 112312266 is about 482.4760165981.

Adding to 112312266 its reverse (662213211), we get a palindrome (774525477).

The spelling of 112312266 in words is "one hundred twelve million, three hundred twelve thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 241 253 307 482 506 614 723 759 921 1446 1518 1842 2651 3377 5302 5543 6754 7061 7953 10131 11086 14122 15906 16629 20262 21183 33258 42366 60973 73987 77671 121946 147974 155342 182919 221961 233013 365838 443922 466026 813857 1627714 1701701 2441571 3403402 4883142 5105103 10210206 18718711 37437422 56156133 112312266