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228085312 = 2671339163
BaseRepresentation
bin11011001100001…
…00111001000000
3120220011221020011
431212010321000
5431342212222
634344354304
75436456520
oct1546047100
9526157204
10228085312
11107825964
1264475994
133833b930
1422413680
1515055c77
hexd984e40

228085312 has 56 divisors (see below), whose sum is σ = 557068736. Its totient is φ = 90229248.

The previous prime is 228085301. The next prime is 228085339. The reversal of 228085312 is 213580822.

228085312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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, 13758 + ... + 25405.

It is an arithmetic number, because the mean of its divisors is an integer number (9947656).

Almost surely, 2228085312 is an apocalyptic number.

It is an amenable number.

228085312 is an abundant number, since it is smaller than the sum of its proper divisors (328983424).

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

228085312 is a wasteful number, since it uses less digits than its factorization.

228085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39195 (or 39185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 228085312 is about 15102.4935689442. The cubic root of 228085312 is about 610.9876609503.

The spelling of 228085312 in words is "two hundred twenty-eight million, eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 39163 78326 156652 274141 313304 509119 548282 626608 1018238 1096564 1253216 2036476 2193128 2506432 3563833 4072952 4386256 7127666 8145904 8772512 14255332 16291808 17545024 28510664 32583616 57021328 114042656 228085312