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9232230728 = 23722322112
BaseRepresentation
bin10001001100100100…
…01010100101001000
3212211102001220200102
420212102022211020
5122401422340403
64124034424532
7444532444400
oct104622124510
925742056612
109232230728
113a08398656
121957a32148
13b41910a26
146381c7800
153907a0b88
hex22648a948

9232230728 has 108 divisors (see below), whose sum is σ = 21150433395. Its totient is φ = 3766704480.

The previous prime is 9232230697. The next prime is 9232230731. The reversal of 9232230728 is 8270322329.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4616115364 + 4616115364 = 67942^2 + 67942^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67942.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9232230691 and 9232230700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43754543 + ... + 43754753.

Almost surely, 29232230728 is an apocalyptic number.

9232230728 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9232230728

9232230728 is an abundant number, since it is smaller than the sum of its proper divisors (11918202667).

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

9232230728 is a wasteful number, since it uses less digits than its factorization.

9232230728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 9232230728 is about 96084.4978547528. The cubic root of 9232230728 is about 2097.8231962150.

The spelling of 9232230728 in words is "nine billion, two hundred thirty-two million, two hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 211 322 392 422 529 644 844 1058 1127 1288 1477 1688 2116 2254 2954 3703 4232 4508 4853 5908 7406 9016 9706 10339 11816 14812 19412 20678 25921 29624 33971 38824 41356 44521 51842 67942 82712 89042 103684 111619 135884 178084 207368 223238 237797 271768 311647 356168 446476 475594 623294 781333 892952 951188 1023983 1246588 1562666 1902376 2047966 2181529 2493176 3125332 4095932 4363058 5469331 6250664 7167881 8191864 8726116 10938662 14335762 17452232 21877324 23551609 28671524 43754648 47103218 50175167 57343048 94206436 100350334 164861263 188412872 200700668 329722526 401401336 659445052 1154028841 1318890104 2308057682 4616115364 9232230728