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230908128 = 25311449487
BaseRepresentation
bin11011100001101…
…10000011100000
3121002111100101220
431300312003200
5433103030003
634525055040
75502454353
oct1560660340
9532440356
10230908128
11109383770
12653b7480
1338ab9739
142294a29a
1515412353
hexdc360e0

230908128 has 96 divisors (see below), whose sum is σ = 664070400. Its totient is φ = 69672960.

The previous prime is 230908099. The next prime is 230908141. The reversal of 230908128 is 821809032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473901 + ... + 474387.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2230908128 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 230908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332035200).

230908128 is an abundant number, since it is smaller than the sum of its proper divisors (433162272).

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

230908128 is a wasteful number, since it uses less digits than its factorization.

230908128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 230908128 is about 15195.6614860953. The cubic root of 230908128 is about 613.4978901031.

The spelling of 230908128 in words is "two hundred thirty million, nine hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 449 487 528 898 974 1056 1347 1461 1796 1948 2694 2922 3592 3896 4939 5357 5388 5844 7184 7792 9878 10714 10776 11688 14368 14817 15584 16071 19756 21428 21552 23376 29634 32142 39512 42856 43104 46752 59268 64284 79024 85712 118536 128568 158048 171424 218663 237072 257136 437326 474144 514272 655989 874652 1311978 1749304 2405293 2623956 3498608 4810586 5247912 6997216 7215879 9621172 10495824 14431758 19242344 20991648 28863516 38484688 57727032 76969376 115454064 230908128