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199801836 = 2233131011409
BaseRepresentation
bin10111110100010…
…11101111101100
3111220221222121000
423322023233230
5402122124321
631454240300
74644200433
oct1372135754
9456858530
10199801836
11a2868093
1256ab6090
1332518050
141c77011a
151281a826
hexbe8bbec

199801836 has 96 divisors (see below), whose sum is σ = 563774400. Its totient is φ = 60825600.

The previous prime is 199801831. The next prime is 199801871. The reversal of 199801836 is 638108991.

It is a junction number, because it is equal to n+sod(n) for n = 199801791 and 199801800.

It is not an unprimeable number, because it can be changed into a prime (199801831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141100 + ... + 142508.

It is an arithmetic number, because the mean of its divisors is an integer number (5872650).

Almost surely, 2199801836 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 199801836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281887200).

199801836 is an abundant number, since it is smaller than the sum of its proper divisors (363972564).

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

199801836 is a wasteful number, since it uses less digits than its factorization.

199801836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 199801836 is about 14135.1277320016. The cubic root of 199801836 is about 584.6103387998.

The spelling of 199801836 in words is "one hundred ninety-nine million, eight hundred one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 101 108 117 156 202 234 303 351 404 468 606 702 909 1212 1313 1404 1409 1818 2626 2727 2818 3636 3939 4227 5252 5454 5636 7878 8454 10908 11817 12681 15756 16908 18317 23634 25362 35451 36634 38043 47268 50724 54951 70902 73268 76086 109902 141804 142309 152172 164853 219804 284618 329706 426927 494559 569236 659412 853854 989118 1280781 1707708 1850017 1978236 2561562 3700034 3842343 5123124 5550051 7400068 7684686 11100102 15369372 16650153 22200204 33300306 49950459 66600612 99900918 199801836