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81852216 = 23323791877
BaseRepresentation
bin1001110000011…
…11011100111000
312201000112010120
410320033130320
5131423232331
612042213240
72012506125
oct470173470
9181015116
1081852216
1142226866
12234b4220
1313c5b484
14ac2974c
1572bc796
hex4e0f738

81852216 has 64 divisors (see below), whose sum is σ = 216345600. Its totient is φ = 25753728.

The previous prime is 81852167. The next prime is 81852223. The reversal of 81852216 is 61225818.

It is a super-2 number, since 2×818522162 = 13399570528221312, which contains 22 as substring.

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, 42670 + ... + 44546.

It is an arithmetic number, because the mean of its divisors is an integer number (3380400).

Almost surely, 281852216 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 81852216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108172800).

81852216 is an abundant number, since it is smaller than the sum of its proper divisors (134493384).

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

81852216 is a wasteful number, since it uses less digits than its factorization.

81852216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1984 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 81852216 is about 9047.2214519155. The cubic root of 81852216 is about 434.1869977859.

It can be divided in two parts, 8185 and 2216, that added together give a palindrome (10401).

The spelling of 81852216 in words is "eighty-one million, eight hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 474 552 632 948 1817 1877 1896 3634 3754 5451 5631 7268 7508 10902 11262 14536 15016 21804 22524 43171 43608 45048 86342 129513 148283 172684 259026 296566 345368 444849 518052 593132 889698 1036104 1186264 1779396 3410509 3558792 6821018 10231527 13642036 20463054 27284072 40926108 81852216