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228634144 = 25192912967
BaseRepresentation
bin11011010000010…
…10111000100000
3120221012211002021
431220022320200
5432012243034
634404231224
75444233564
oct1550127040
9527184067
10228634144
11108070242
126469b514
13384a169b
14225176a4
15151136b4
hexda0ae20

228634144 has 48 divisors (see below), whose sum is σ = 490190400. Its totient is φ = 104557824.

The previous prime is 228634121. The next prime is 228634171. The reversal of 228634144 is 441436822.

It is a super-2 number, since 2×2286341442 = 104547143605225472, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11149 + ... + 24115.

It is an arithmetic number, because the mean of its divisors is an integer number (10212300).

Almost surely, 2228634144 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 228634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245095200).

228634144 is an abundant number, since it is smaller than the sum of its proper divisors (261556256).

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

228634144 is a wasteful number, since it uses less digits than its factorization.

228634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13025 (or 13017 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 228634144 is about 15120.6528959566. The cubic root of 228634144 is about 611.4773329549.

The spelling of 228634144 in words is "two hundred twenty-eight million, six hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 4408 8816 12967 17632 25934 51868 103736 207472 246373 376043 414944 492746 752086 985492 1504172 1970984 3008344 3941968 6016688 7144817 7883936 12033376 14289634 28579268 57158536 114317072 228634144