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112234680 = 23335176113
BaseRepresentation
bin1101011000010…
…01000010111000
321211012010001000
412230021002320
5212213002210
615045325000
72531656545
oct654110270
9254163030
10112234680
1158398638
1231706760
131a33856c
1410c97bcc
159cbeac0
hex6b090b8

112234680 has 128 divisors (see below), whose sum is σ = 396187200. Its totient is φ = 28164096.

The previous prime is 112234673. The next prime is 112234699. The reversal of 112234680 is 86432211.

It is a super-3 number, since 3×1122346803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 15304 + ... + 21416.

Almost surely, 2112234680 is an apocalyptic number.

112234680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198093600).

112234680 is an abundant number, since it is smaller than the sum of its proper divisors (283952520).

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

112234680 is a wasteful number, since it uses less digits than its factorization.

112234680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112234680 is about 10594.0870300371. The cubic root of 112234680 is about 482.3648918783.

Adding to 112234680 its reverse (86432211), we get a palindrome (198666891).

The spelling of 112234680 in words is "one hundred twelve million, two hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6113 6120 9180 12226 18339 18360 24452 30565 36678 48904 55017 61130 73356 91695 103921 110034 122260 146712 165051 183390 207842 220068 244520 275085 311763 330102 366780 415684 440136 519605 550170 623526 660204 733560 825255 831368 935289 1039210 1100340 1247052 1320408 1558815 1650510 1870578 2078420 2200680 2494104 2805867 3117630 3301020 3741156 4156840 4676445 5611734 6235260 6602040 7482312 9352890 11223468 12470520 14029335 18705780 22446936 28058670 37411560 56117340 112234680