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196831200 = 2535282013
BaseRepresentation
bin10111011101101…
…10011111100000
3111201101001122110
423232312133200
5400342044300
631310435320
74610015616
oct1356663740
9451331573
10196831200
11a1119215
1255b02b40
1331a17b87
141c1d96b6
1512430550
hexbbb67e0

196831200 has 72 divisors (see below), whose sum is σ = 640693368. Its totient is φ = 52487680.

The previous prime is 196831181. The next prime is 196831211. The reversal of 196831200 is 2138691.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 38607 + ... + 43406.

It is an arithmetic number, because the mean of its divisors is an integer number (8898519).

Almost surely, 2196831200 is an apocalyptic number.

196831200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196831200 is an abundant number, since it is smaller than the sum of its proper divisors (443862168).

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

196831200 is a wasteful number, since it uses less digits than its factorization.

196831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82036 (or 82023 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 196831200 is about 14029.6543079293. The cubic root of 196831200 is about 581.6985484377.

Adding to 196831200 its reverse (2138691), we get a palindrome (198969891).

It can be divided in two parts, 19683 and 1200, that multiplied together give a square (23619600 = 48602).

The spelling of 196831200 in words is "one hundred ninety-six million, eight hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 82013 164026 246039 328052 410065 492078 656104 820130 984156 1230195 1312208 1640260 1968312 2050325 2460390 2624416 3280520 3936624 4100650 4920780 6150975 6561040 7873248 8201300 9841560 12301950 13122080 16402600 19683120 24603900 32805200 39366240 49207800 65610400 98415600 196831200