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801688212 = 2233134712149
BaseRepresentation
bin101111110010001…
…100101010010100
32001212111222111000
4233302030222110
53120213010322
6211314543300
725603144263
oct5762145224
92055458430
10801688212
11381594246
121a4597b30
13ca124430
14786885da
154a5ac3ac
hex2fc8ca94

801688212 has 96 divisors (see below), whose sum is σ = 2286144000. Its totient is φ = 241405056.

The previous prime is 801688177. The next prime is 801688231. The reversal of 801688212 is 212886108.

801688212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59914 + ... + 72062.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2801688212 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 801688212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072000).

801688212 is an abundant number, since it is smaller than the sum of its proper divisors (1484455788).

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

801688212 is a wasteful number, since it uses less digits than its factorization.

801688212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 801688212 is about 28314.0991733800. The cubic root of 801688212 is about 928.9703067574.

The spelling of 801688212 in words is "eight hundred one million, six hundred eighty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2444 2538 3666 5076 5499 7332 10998 12149 16497 21996 24298 32994 36447 48596 65988 72894 109341 145788 157937 218682 315874 328023 437364 473811 571003 631748 656046 947622 1142006 1312092 1421433 1713009 1895244 2284012 2842866 3426018 4264299 5139027 5685732 6852036 7423039 8528598 10278054 14846078 15417081 17057196 20556108 22269117 29692156 30834162 44538234 61668324 66807351 89076468 133614702 200422053 267229404 400844106 801688212