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83230875 = 3353713271
BaseRepresentation
bin1001111011000…
…00000010011011
312210121120022000
410331200002123
5132301342000
612131532043
72030310420
oct475400233
9183546260
1083230875
1142a88652
1223a5a023
1314321b50
14b0a7d47
157491000
hex4f6009b

83230875 has 128 divisors (see below), whose sum is σ = 190095360. Its totient is φ = 34992000.

The previous prime is 83230867. The next prime is 83230891. The reversal of 83230875 is 57803238.

It is not a de Polignac number, because 83230875 - 23 = 83230867 is a prime.

It is a super-3 number, since 3×832308753 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306990 + ... + 307260.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 283230875 is an apocalyptic number.

83230875 is an abundant number, since it is smaller than the sum of its proper divisors (106864485).

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

83230875 is a wasteful number, since it uses less digits than its factorization.

83230875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83230875 is about 9123.0956917047. The cubic root of 83230875 is about 436.6111477563.

The spelling of 83230875 in words is "eighty-three million, two hundred thirty thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 125 135 175 189 195 225 271 273 315 325 351 375 455 525 585 675 813 819 875 945 975 1125 1355 1365 1575 1625 1755 1897 2275 2439 2457 2625 2925 3375 3523 4065 4095 4725 4875 5691 6775 6825 7317 7875 8775 9485 10569 11375 12195 12285 14625 17073 17615 20325 20475 23625 24661 28455 31707 33875 34125 36585 43875 47425 51219 52845 60975 61425 73983 85365 88075 95121 101625 102375 123305 142275 158535 182925 221949 237125 256095 264225 304875 307125 369915 426825 440375 475605 616525 665847 711375 792675 914625 1109745 1280475 1321125 1849575 2134125 2378025 3082625 3329235 3963375 5548725 6402375 9247875 11890125 16646175 27743625 83230875