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112965228 = 22323137923
BaseRepresentation
bin1101011101110…
…11011001101100
321212120020011100
412232323121230
5212404341403
615113123100
72541121455
oct656733154
9255506140
10112965228
11588474a2
12319b9490
131a532c3c
141100812c
159db62a3
hex6bbb66c

112965228 has 18 divisors (see below), whose sum is σ = 285551084. Its totient is φ = 37655064.

The previous prime is 112965227. The next prime is 112965239. The reversal of 112965228 is 822569211.

112965228 is a `hidden beast` number, since 1 + 129 + 6 + 522 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1129652282 = 25522285474183968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3137923 = 112965228 / (1 + 1 + 2 + 9 + 6 + 5 + 2 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 112965192 and 112965201.

It is not an unprimeable number, because it can be changed into a prime (112965227) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1568926 + ... + 1568997.

Almost surely, 2112965228 is an apocalyptic number.

112965228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112965228 is an abundant number, since it is smaller than the sum of its proper divisors (172585856).

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

112965228 is a wasteful number, since it uses less digits than its factorization.

112965228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137933 (or 3137928 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 112965228 is about 10628.5101495929. The cubic root of 112965228 is about 483.4092181552.

The spelling of 112965228 in words is "one hundred twelve million, nine hundred sixty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3137923 6275846 9413769 12551692 18827538 28241307 37655076 56482614 112965228