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849200022 = 2321121920521
BaseRepresentation
bin110010100111011…
…100001110010110
32012011220211102200
4302213130032112
53214343400042
6220133145330
730021036546
oct6247341626
92164824380
10849200022
113a6395600
121b848b246
13106c1b128
1480ad5326
154e844c4c
hex329dc396

849200022 has 72 divisors (see below), whose sum is σ = 2128952280. Its totient is φ = 243777600.

The previous prime is 849199961. The next prime is 849200047. The reversal of 849200022 is 220002948.

It is a super-2 number, since 2×8492000222 = 1442281354729600968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31122 + ... + 51642.

Almost surely, 2849200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064476140).

849200022 is an abundant number, since it is smaller than the sum of its proper divisors (1279752258).

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

849200022 is a wasteful number, since it uses less digits than its factorization.

849200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20570 (or 20556 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 849200022 is about 29141.0367351610. The cubic root of 849200022 is about 946.9709698891.

The spelling of 849200022 in words is "eight hundred forty-nine million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3762 4598 6897 13794 20521 20691 41042 41382 61563 123126 184689 225731 369378 389899 451462 677193 779798 1169697 1354386 2031579 2339394 2483041 3509091 4063158 4288889 4966082 7018182 7449123 8577778 12866667 14898246 22347369 25733334 38600001 44694738 47177779 77200002 94355558 141533337 283066674 424600011 849200022