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8220996 = 223271719101
BaseRepresentation
bin11111010111000101000100
3120110200002100
4133113011010
54101032441
6452112100
7126606630
oct37270504
916420070
108220996
114705613
122905630
13191abc4
14113ddc0
15ac5cb6
hex7d7144

8220996 has 144 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 2073600.

The previous prime is 8220937. The next prime is 8221009. The reversal of 8220996 is 6990228.

8220996 = T283 + T284 + ... + T415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8220996.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81346 + ... + 81446.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 28220996 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 8220996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

8220996 is an abundant number, since it is smaller than the sum of its proper divisors (18511164).

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

8220996 is a wasteful number, since it uses less digits than its factorization.

8220996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8220996 is about 2867.2279295515. The cubic root of 8220996 is about 201.8249308233.

It can be divided in two parts, 8220 and 996, that added together give a square (9216 = 962).

The spelling of 8220996 in words is "eight million, two hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 101 102 114 119 126 133 153 171 202 204 228 238 252 266 303 306 323 342 357 399 404 476 532 606 612 646 684 707 714 798 909 969 1071 1197 1212 1292 1414 1428 1596 1717 1818 1919 1938 2121 2142 2261 2394 2828 2907 3434 3636 3838 3876 4242 4284 4522 4788 5151 5757 5814 6363 6783 6868 7676 8484 9044 10302 11514 11628 12019 12726 13433 13566 15453 17271 20349 20604 23028 24038 25452 26866 27132 30906 32623 34542 36057 40299 40698 48076 53732 61812 65246 69084 72114 80598 81396 97869 108171 120897 130492 144228 161196 195738 216342 228361 241794 293607 391476 432684 456722 483588 587214 685083 913444 1174428 1370166 2055249 2740332 4110498 8220996