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199968750 = 2345679
BaseRepresentation
bin10111110101101…
…00011111101110
3111221021110120000
423322310133232
5402143000000
631502005130
74645464162
oct1372643756
9457243500
10199968750
11a2971533
1256b767a6
1332576007
141c7b4ca2
1512850000
hexbeb47ee

199968750 has 140 divisors (see below), whose sum is σ = 567180240. Its totient is φ = 52650000.

The previous prime is 199968737. The next prime is 199968751. The reversal of 199968750 is 57869991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199968751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 2531211 + ... + 2531289.

Almost surely, 2199968750 is an apocalyptic number.

199968750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199968750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283590120).

199968750 is an abundant number, since it is smaller than the sum of its proper divisors (367211490).

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

199968750 is an frugal number, since it uses more digits than its factorization.

199968750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 199968750 is about 14141.0307262236. The cubic root of 199968750 is about 584.7730875379.

The spelling of 199968750 in words is "one hundred ninety-nine million, nine hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 79 81 90 125 135 150 158 162 225 237 250 270 375 395 405 450 474 625 675 711 750 790 810 1125 1185 1250 1350 1422 1875 1975 2025 2133 2250 2370 3125 3375 3555 3750 3950 4050 4266 5625 5925 6250 6399 6750 7110 9375 9875 10125 10665 11250 11850 12798 15625 16875 17775 18750 19750 20250 21330 28125 29625 31250 31995 33750 35550 46875 49375 50625 53325 56250 59250 63990 84375 88875 93750 98750 101250 106650 140625 148125 159975 168750 177750 246875 253125 266625 281250 296250 319950 421875 444375 493750 506250 533250 740625 799875 843750 888750 1234375 1265625 1333125 1481250 1599750 2221875 2468750 2531250 2666250 3703125 3999375 4443750 6665625 7406250 7998750 11109375 13331250 19996875 22218750 33328125 39993750 66656250 99984375 199968750