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84220812 = 2232132109127
BaseRepresentation
bin1010000010100…
…01101110001100
312212110212020100
411001101232030
5133030031222
612205051100
72041602504
oct501215614
9185425210
1084220812
11435a4385
1224256a90
13145aa600
14b284a04
1575d94ac
hex5051b8c

84220812 has 108 divisors (see below), whose sum is σ = 234474240. Its totient is φ = 25474176.

The previous prime is 84220793. The next prime is 84220819. The reversal of 84220812 is 21802248.

It is not an unprimeable number, because it can be changed into a prime (84220819) 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 35 ways as a sum of consecutive naturals, for example, 663093 + ... + 663219.

Almost surely, 284220812 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 84220812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117237120).

84220812 is an abundant number, since it is smaller than the sum of its proper divisors (150253428).

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

84220812 is a wasteful number, since it uses less digits than its factorization.

84220812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84220812 is about 9177.1897659360. The cubic root of 84220812 is about 438.3353283734.

The spelling of 84220812 in words is "eighty-four million, two hundred twenty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 127 156 169 218 234 254 327 338 381 436 468 507 508 654 676 762 981 1014 1143 1308 1417 1521 1524 1651 1962 2028 2286 2834 3042 3302 3924 4251 4572 4953 5668 6084 6604 8502 9906 12753 13843 14859 17004 18421 19812 21463 25506 27686 29718 36842 41529 42926 51012 55263 55372 59436 64389 73684 83058 85852 110526 124587 128778 165789 166116 179959 193167 221052 249174 257556 331578 359918 386334 498348 539877 663156 719836 772668 1079754 1619631 2159508 2339467 3239262 4678934 6478524 7018401 9357868 14036802 21055203 28073604 42110406 84220812