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820170198 = 2361573583
BaseRepresentation
bin110000111000101…
…100110111010110
32010011021222000000
4300320230313112
53134430421243
6213215032130
726216221521
oct6070546726
92104258000
10820170198
11390a68011
121aa80b646
13100bc5913
147acd9bb8
154c00d5d3
hex30e2cdd6

820170198 has 56 divisors (see below), whose sum is σ = 1856805888. Its totient is φ = 271572912.

The previous prime is 820170161. The next prime is 820170217. The reversal of 820170198 is 891071028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 227115 + ... + 230697.

It is an arithmetic number, because the mean of its divisors is an integer number (33157248).

Almost surely, 2820170198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820170198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928402944).

820170198 is an abundant number, since it is smaller than the sum of its proper divisors (1036635690).

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

820170198 is a wasteful number, since it uses less digits than its factorization.

820170198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 820170198 is about 28638.6137583508. The cubic root of 820170198 is about 936.0549154171.

The spelling of 820170198 in words is "eight hundred twenty million, one hundred seventy thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 243 314 471 486 729 942 1413 1458 2826 3583 4239 7166 8478 10749 12717 21498 25434 32247 38151 64494 76302 96741 114453 193482 228906 290223 562531 580446 870669 1125062 1687593 1741338 2612007 3375186 5062779 5224014 10125558 15188337 30376674 45565011 91130022 136695033 273390066 410085099 820170198