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232134168 = 23373163173
BaseRepresentation
bin11011101011000…
…01011000011000
3121011210122012210
431311201120120
5433411243133
635011235120
75516052000
oct1565413030
9534718183
10232134168
1110a040922
12658a8aa0
13391287c6
1422b89000
15155a5763
hexdd61618

232134168 has 128 divisors (see below), whose sum is σ = 684864000. Its totient is φ = 65536128.

The previous prime is 232134131. The next prime is 232134211. The reversal of 232134168 is 861431232.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341730 + ... + 1341902.

It is an arithmetic number, because the mean of its divisors is an integer number (5350500).

Almost surely, 2232134168 is an apocalyptic number.

232134168 is a gapful number since it is divisible by the number (28) 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 232134168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342432000).

232134168 is an abundant number, since it is smaller than the sum of its proper divisors (452729832).

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

232134168 is a wasteful number, since it uses less digits than its factorization.

232134168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 232134168 is about 15235.9498555226. The cubic root of 232134168 is about 614.5817924844.

The spelling of 232134168 in words is "two hundred thirty-two million, one hundred thirty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 163 168 173 196 294 326 343 346 392 489 519 588 652 686 692 978 1029 1038 1141 1176 1211 1304 1372 1384 1956 2058 2076 2282 2422 2744 3423 3633 3912 4116 4152 4564 4844 6846 7266 7987 8232 8477 9128 9688 13692 14532 15974 16954 23961 25431 27384 28199 29064 31948 33908 47922 50862 55909 56398 59339 63896 67816 84597 95844 101724 111818 112796 118678 167727 169194 178017 191688 197393 203448 223636 225592 237356 335454 338388 356034 394786 447272 474712 592179 670908 676776 712068 789572 1184358 1341816 1381751 1424136 1579144 2368716 2763502 4145253 4737432 5527004 8290506 9672257 11054008 16581012 19344514 29016771 33162024 38689028 58033542 77378056 116067084 232134168