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112314168 = 23331927367
BaseRepresentation
bin1101011000111…
…00011100111000
321211100011002000
412230130130320
5212223023133
615051141000
72532440361
oct654343470
9254304060
10112314168
115844232a
1231744760
131a3657b5
1410cb8b68
159cd8413
hex6b1c738

112314168 has 64 divisors (see below), whose sum is σ = 328416000. Its totient is φ = 35466336.

The previous prime is 112314127. The next prime is 112314179. The reversal of 112314168 is 861413211.

It is a happy number.

112314168 is a `hidden beast` number, since 11 + 231 + 416 + 8 = 666.

It is a super-2 number, since 2×1123141682 = 25228944667064448, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9580 + ... + 17787.

It is an arithmetic number, because the mean of its divisors is an integer number (5131500).

Almost surely, 2112314168 is an apocalyptic number.

112314168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112314168 is an abundant number, since it is smaller than the sum of its proper divisors (216101832).

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

112314168 is a wasteful number, since it uses less digits than its factorization.

112314168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27401 (or 27391 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 112314168 is about 10597.8378927025. The cubic root of 112314168 is about 482.4787401480.

Adding to 112314168 its reverse (861413211), we get a palindrome (973727379).

The spelling of 112314168 in words is "one hundred twelve million, three hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 27367 54734 82101 109468 164202 218936 246303 328404 492606 519973 656808 738909 985212 1039946 1477818 1559919 1970424 2079892 2955636 3119838 4159784 4679757 5911272 6239676 9359514 12479352 14039271 18719028 28078542 37438056 56157084 112314168