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112229247168 = 263380592
BaseRepresentation
bin110100010000101100…
…0100110100011000000
3101201200110010110121000
41220201120212203000
53314321141402133
6123320222132000
711052100601223
oct1504130464300
9351613113530
10112229247168
1143661536545
1219901421000
13a7772cb97c
1456092b55ba
152dbcb90413
hex1a216268c0

112229247168 has 84 divisors (see below), whose sum is σ = 329974148280. Its totient is φ = 37405107072.

The previous prime is 112229247167. The next prime is 112229247173. The reversal of 112229247168 is 861742922211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112229247168 is a `hidden beast` number, since 1 + 12 + 22 + 92 + 471 + 68 = 666.

Its product of digits (193536) is a multiple of the sum of its prime divisors (8064).

It is not an unprimeable number, because it can be changed into a prime (112229247167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13921923 + ... + 13929981.

It is an arithmetic number, because the mean of its divisors is an integer number (3928263670).

Almost surely, 2112229247168 is an apocalyptic number.

112229247168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112229247168 is an abundant number, since it is smaller than the sum of its proper divisors (217744901112).

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

112229247168 is an frugal number, since it uses more digits than its factorization.

112229247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16139 (or 8064 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 112229247168 in words is "one hundred twelve billion, two hundred twenty-nine million, two hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8059 16118 24177 32236 48354 64472 72531 96708 128944 145062 193416 217593 257888 290124 386832 435186 515776 580248 773664 870372 1160496 1547328 1740744 2320992 3481488 4641984 6962976 13925952 64947481 129894962 194842443 259789924 389684886 519579848 584527329 779369772 1039159696 1169054658 1558739544 1753581987 2078319392 2338109316 3117479088 3507163974 4156638784 4676218632 6234958176 7014327948 9352437264 12469916352 14028655896 18704874528 28057311792 37409749056 56114623584 112229247168