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196834200 = 233522511307
BaseRepresentation
bin10111011101101…
…11001110011000
3111201101012202120
423232313032120
5400342143300
631310501240
74610030433
oct1356671630
9451335676
10196834200
11a11204a2
1255b04820
1331a19354
141c1da81a
15124313a0
hexbbb7398

196834200 has 96 divisors (see below), whose sum is σ = 613085760. Its totient is φ = 52240000.

The previous prime is 196834189. The next prime is 196834201. The reversal of 196834200 is 2438691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196834201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149947 + ... + 151253.

It is an arithmetic number, because the mean of its divisors is an integer number (6386310).

Almost surely, 2196834200 is an apocalyptic number.

196834200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196834200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306542880).

196834200 is an abundant number, since it is smaller than the sum of its proper divisors (416251560).

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

196834200 is a wasteful number, since it uses less digits than its factorization.

196834200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 196834200 is about 14029.7612239125. The cubic root of 196834200 is about 581.7015037395.

The spelling of 196834200 in words is "one hundred ninety-six million, eight hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1307 1506 2008 2510 2614 3012 3765 3921 5020 5228 6024 6275 6535 7530 7842 10040 10456 12550 13070 15060 15684 18825 19605 25100 26140 30120 31368 32675 37650 39210 50200 52280 65350 75300 78420 98025 130700 150600 156840 196050 261400 328057 392100 656114 784200 984171 1312228 1640285 1968342 2624456 3280570 3936684 4920855 6561140 7873368 8201425 9841710 13122280 16402850 19683420 24604275 32805700 39366840 49208550 65611400 98417100 196834200