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82216212 = 22313719733
BaseRepresentation
bin1001110011010…
…00010100010100
312201201000102220
410321220110110
5132021404322
612054102340
72015553261
oct471502424
9181630386
1082216212
1142455291
122364a9b0
1314058060
14acc2268
15734055c
hex4e68514

82216212 has 48 divisors (see below), whose sum is σ = 207164160. Its totient is φ = 25227648.

The previous prime is 82216163. The next prime is 82216213. The reversal of 82216212 is 21261228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82216213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 111798 + ... + 112530.

It is an arithmetic number, because the mean of its divisors is an integer number (4315920).

Almost surely, 282216212 is an apocalyptic number.

It is an amenable number.

82216212 is an abundant number, since it is smaller than the sum of its proper divisors (124947948).

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

82216212 is a wasteful number, since it uses less digits than its factorization.

82216212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 82216212 is about 9067.3155895226. The cubic root of 82216212 is about 434.8296545330.

It can be divided in two parts, 82216 and 212, that added together give a palindrome (82428).

The spelling of 82216212 in words is "eighty-two million, two hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 719 733 1438 1466 2157 2199 2876 2932 4314 4398 8628 8796 9347 9529 18694 19058 28041 28587 37388 38116 56082 57174 112164 114348 527027 1054054 1581081 2108108 3162162 6324324 6851351 13702702 20554053 27405404 41108106 82216212