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822820856 = 2311131036983
BaseRepresentation
bin110001000010110…
…011111111111000
32010100021122000112
4301002303333320
53141120231411
6213351523452
726250601424
oct6102637770
92110248015
10822820856
11392508540
121ab689588
13101613260
147b3c9b84
154c383b8b
hex310b3ff8

822820856 has 64 divisors (see below), whose sum is σ = 1830366720. Its totient is φ = 341838720.

The previous prime is 822820849. The next prime is 822820861. The reversal of 822820856 is 658028228.

It is a super-2 number, since 2×8228208562 = 1354068322137145472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114341 + ... + 121323.

It is an arithmetic number, because the mean of its divisors is an integer number (28599480).

Almost surely, 2822820856 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 822820856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915183360).

822820856 is an abundant number, since it is smaller than the sum of its proper divisors (1007545864).

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

822820856 is a wasteful number, since it uses less digits than its factorization.

822820856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 822820856 is about 28684.8541219927. The cubic root of 822820856 is about 937.0622239571.

The spelling of 822820856 in words is "eight hundred twenty-two million, eight hundred twenty thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 206 286 412 572 824 1133 1144 1339 2266 2678 4532 5356 6983 9064 10712 13966 14729 27932 29458 55864 58916 76813 90779 117832 153626 181558 307252 363116 614504 719249 726232 998569 1438498 1997138 2876996 3994276 5753992 7911739 7988552 9350237 15823478 18700474 31646956 37400948 63293912 74801896 102852607 205705214 411410428 822820856