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112218112 = 21227397
BaseRepresentation
bin1101011000001…
…01000000000000
321211011021022101
412230011000000
5212211434422
615045120144
72531560336
oct654050000
9254137271
10112218112
1158387146
12316b9054
131a330b66
1410c91b56
159cb9c27
hex6b05000

112218112 has 26 divisors (see below), whose sum is σ = 224417018. Its totient is φ = 56107008.

The previous prime is 112218103. The next prime is 112218149. The reversal of 112218112 is 211812211.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 8667136 = 10176^2 + 2944^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112218112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9603 + ... + 17794.

Almost surely, 2112218112 is an apocalyptic number.

It is an amenable number.

112218112 is a deficient number, since it is larger than the sum of its proper divisors (112198906).

112218112 is an frugal number, since it uses more digits than its factorization.

112218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27421 (or 27399 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

The square root of 112218112 is about 10593.3050555528. The cubic root of 112218112 is about 482.3411552614.

The spelling of 112218112 in words is "one hundred twelve million, two hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 27397 54794 109588 219176 438352 876704 1753408 3506816 7013632 14027264 28054528 56109056 112218112