Search a number
-
+
81015228 = 2231073
BaseRepresentation
bin1001101010000…
…11000110111100
312122110000000000
410311003012330
5131214441403
612012234300
72002422000
oct465030674
9178400000
1081015228
1141804a38
122316b990
1313a27508
14aa8c700
1571a47a3
hex4d431bc

81015228 has 132 divisors (see below), whose sum is σ = 248004400. Its totient is φ = 23147208.

The previous prime is 81015199. The next prime is 81015257. The reversal of 81015228 is 82251018.

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 is an interprime number because it is at equal distance from previous prime (81015199) and next prime (81015257).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 43 ways as a sum of consecutive naturals, for example, 11573601 + ... + 11573607.

Almost surely, 281015228 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 81015228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124002200).

81015228 is an abundant number, since it is smaller than the sum of its proper divisors (166989172).

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

81015228 is an frugal number, since it uses more digits than its factorization.

81015228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 81015228 is about 9000.8459602417. The cubic root of 81015228 is about 432.7019836852.

The spelling of 81015228 in words is "eighty-one million, fifteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 729 756 882 972 1029 1134 1323 1372 1458 1701 1764 2058 2187 2268 2646 2916 3087 3402 3969 4116 4374 5103 5292 6174 6561 6804 7938 8748 9261 10206 11907 12348 13122 15309 15876 18522 19683 20412 23814 26244 27783 30618 35721 37044 39366 45927 47628 55566 59049 61236 71442 78732 83349 91854 107163 111132 118098 137781 142884 166698 183708 214326 236196 250047 275562 321489 333396 413343 428652 500094 551124 642978 750141 826686 964467 1000188 1285956 1500282 1653372 1928934 2250423 2893401 3000564 3857868 4500846 5786802 6751269 9001692 11573604 13502538 20253807 27005076 40507614 81015228