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228650112 = 27324147103
BaseRepresentation
bin11011010000011…
…10110010000000
3120221020121222200
431220032302000
5432013300422
634404433200
75444331255
oct1550166200
9527217880
10228650112
11108081239
12646a8800
13384a8a32
142251d42c
15151182ac
hexda0ec80

228650112 has 192 divisors, whose sum is σ = 695036160. Its totient is φ = 72069120.

The previous prime is 228650101. The next prime is 228650113. The reversal of 228650112 is 211056822.

It is a happy number.

228650112 is a `hidden beast` number, since 2 + 2 + 8 + 650 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2286501122 = 104561747435225088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228650113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2219853 + ... + 2219955.

It is an arithmetic number, because the mean of its divisors is an integer number (3619980).

Almost surely, 2228650112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347518080).

228650112 is an abundant number, since it is smaller than the sum of its proper divisors (466386048).

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

228650112 is a wasteful number, since it uses less digits than its factorization.

228650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 228650112 is about 15121.1809062652. The cubic root of 228650112 is about 611.4915679864.

The spelling of 228650112 in words is "two hundred twenty-eight million, six hundred fifty thousand, one hundred twelve".