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81202212 = 223272133541
BaseRepresentation
bin1001101011100…
…00110000100100
312122210111111100
410311300300210
5131241432322
612020240100
72004131100
oct465606044
9178714440
1081202212
1141922473
1223240030
1313a91660
14aada900
1571dedac
hex4d70c24

81202212 has 108 divisors (see below), whose sum is σ = 257212956. Its totient is φ = 21409920.

The previous prime is 81202171. The next prime is 81202243. The reversal of 81202212 is 21220218.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 59074596 = 4704^2 + 7686^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21162 + ... + 24702.

Almost surely, 281202212 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 81202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128606478).

81202212 is an abundant number, since it is smaller than the sum of its proper divisors (176010744).

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

81202212 is a wasteful number, since it uses less digits than its factorization.

81202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 81202212 is about 9011.2269974738. The cubic root of 81202212 is about 433.0346214852.

The spelling of 81202212 in words is "eighty-one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3541 3822 5733 7082 7644 10623 11466 14164 21246 22932 24787 31869 42492 46033 49574 63738 74361 92066 99148 127476 138099 148722 173509 184132 223083 276198 297444 322231 347018 414297 446166 520527 552396 644462 694036 828594 892332 966693 1041054 1288924 1561581 1657188 1933386 2082108 2255617 2900079 3123162 3866772 4511234 5800158 6246324 6766851 9022468 11600316 13533702 20300553 27067404 40601106 81202212