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81852225 = 35271367179
BaseRepresentation
bin1001110000011…
…11011101000001
312201000112010220
410320033131001
5131423232400
612042213253
72012506140
oct470173501
9181015126
1081852225
1142226874
12234b4229
1313c5b490
14ac29757
1572bc7a0
hex4e0f741

81852225 has 96 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 33834240.

The previous prime is 81852223. The next prime is 81852233. The reversal of 81852225 is 52225818.

It is not a de Polignac number, because 81852225 - 21 = 81852223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81852223) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 457186 + ... + 457364.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 281852225 is an apocalyptic number.

It is an amenable number.

81852225 is an abundant number, since it is smaller than the sum of its proper divisors (88136895).

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

81852225 is a wasteful number, since it uses less digits than its factorization.

81852225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 81852225 is about 9047.2219493058. The cubic root of 81852225 is about 434.1870136995.

The spelling of 81852225 in words is "eighty-one million, eight hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 67 75 91 105 175 179 195 201 273 325 335 455 469 525 537 871 895 975 1005 1253 1365 1407 1675 2275 2327 2345 2613 2685 3759 4355 4475 5025 6097 6265 6825 6981 7035 11635 11725 11993 13065 13425 16289 18291 18795 21775 30485 31325 34905 35175 35979 48867 58175 59965 65325 81445 83951 91455 93975 152425 155909 174525 179895 244335 251853 299825 407225 419755 457275 467727 779545 899475 1091363 1221675 1259265 2098775 2338635 3274089 3897725 5456815 6296325 11693175 16370445 27284075 81852225