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71500212 = 22337259229
BaseRepresentation
bin1000100001100…
…00000110110100
311222112120212000
410100300012310
5121301001322
611032255300
71525512300
oct420600664
9158476760
1071500212
11373a6193
121bb41530
1311a75624
1496d2d00
1564253ac
hex44301b4

71500212 has 144 divisors (see below), whose sum is σ = 220248000. Its totient is φ = 19994688.

The previous prime is 71500201. The next prime is 71500217. The reversal of 71500212 is 21200517.

It is a super-2 number, since 2×715002122 = 10224560632089888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71500217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312114 + ... + 312342.

It is an arithmetic number, because the mean of its divisors is an integer number (1529500).

Almost surely, 271500212 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 71500212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110124000).

71500212 is an abundant number, since it is smaller than the sum of its proper divisors (148747788).

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

71500212 is a wasteful number, since it uses less digits than its factorization.

71500212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 71500212 is about 8455.7797984574. The cubic root of 71500212 is about 415.0519352432.

Adding to 71500212 its reverse (21200517), we get a palindrome (92700729).

The spelling of 71500212 in words is "seventy-one million, five hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 59 63 84 98 108 118 126 147 177 189 196 229 236 252 294 354 378 413 441 458 531 588 687 708 756 826 882 916 1062 1239 1323 1374 1593 1603 1652 1764 2061 2124 2478 2646 2748 2891 3186 3206 3717 4122 4809 4956 5292 5782 6183 6372 6412 7434 8244 8673 9618 11151 11221 11564 12366 13511 14427 14868 17346 19236 22302 22442 24732 26019 27022 28854 33663 34692 40533 43281 44604 44884 52038 54044 57708 67326 78057 81066 86562 94577 100989 104076 121599 134652 156114 162132 173124 189154 201978 243198 283731 302967 312228 364797 378308 403956 486396 567462 605934 662039 729594 851193 1134924 1211868 1324078 1459188 1702386 1986117 2553579 2648156 3404772 3972234 5107158 5958351 7944468 10214316 11916702 17875053 23833404 35750106 71500212