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282216012 = 223134761631
BaseRepresentation
bin10000110100100…
…100011001001100
3201200001001120220
4100310210121030
51034221403022
644000511340
76664540131
oct2064443114
9650031526
10282216012
11135338081
127a61b550
1346612230
14296a4588
1519b9985c
hex10d2464c

282216012 has 96 divisors (see below), whose sum is σ = 737286144. Its totient is φ = 83462400.

The previous prime is 282216007. The next prime is 282216041. The reversal of 282216012 is 210612282.

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 31 ways as a sum of consecutive naturals, for example, 446937 + ... + 447567.

It is an arithmetic number, because the mean of its divisors is an integer number (7680064).

Almost surely, 2282216012 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 282216012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368643072).

282216012 is an abundant number, since it is smaller than the sum of its proper divisors (455070132).

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

282216012 is a wasteful number, since it uses less digits than its factorization.

282216012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

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

The square root of 282216012 is about 16799.2860562585. The cubic root of 282216012 is about 655.9346151122.

Adding to 282216012 its reverse (210612282), we get a palindrome (492828294).

The spelling of 282216012 in words is "two hundred eighty-two million, two hundred sixteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 61 78 94 122 141 156 183 188 244 282 366 564 611 631 732 793 1222 1262 1586 1833 1893 2379 2444 2524 2867 3172 3666 3786 4758 5734 7332 7572 8203 8601 9516 11468 16406 17202 24609 29657 32812 34404 37271 38491 49218 59314 74542 76982 88971 98436 111813 115473 118628 149084 153964 177942 223626 230946 355884 385541 447252 461892 500383 771082 1000766 1156623 1501149 1542164 1809077 2001532 2313246 3002298 3618154 4626492 5427231 6004596 7236308 10854462 21708924 23518001 47036002 70554003 94072004 141108006 282216012