[go: up one dir, main page]

Search a number
-
+
200125200 = 243521115161
BaseRepresentation
bin10111110110110…
…10101100010000
3111221120102011110
423323122230100
5402213001300
631505213320
74650015252
oct1373325420
9457512143
10200125200
11a2a69030
1257031240
13325cc2a2
141c815cd2
1512881550
hexbedab10

200125200 has 120 divisors (see below), whose sum is σ = 699392736. Its totient is φ = 48512000.

The previous prime is 200125151. The next prime is 200125213. The reversal of 200125200 is 2521002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5620 + ... + 20780.

Almost surely, 2200125200 is an apocalyptic number.

200125200 is a gapful number since it is divisible by the number (20) 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 200125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349696368).

200125200 is an abundant number, since it is smaller than the sum of its proper divisors (499267536).

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

200125200 is a wasteful number, since it uses less digits than its factorization.

200125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 200125200 is about 14146.5614196525. The cubic root of 200125200 is about 584.9255511950.

Adding to 200125200 its reverse (2521002), we get a palindrome (202646202).

The spelling of 200125200 in words is "two hundred million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 15161 30322 45483 60644 75805 90966 121288 151610 166771 181932 227415 242576 303220 333542 363864 379025 454830 500313 606440 667084 727728 758050 833855 909660 1000626 1137075 1212880 1334168 1516100 1667710 1819320 2001252 2274150 2501565 2668336 3032200 3335420 3638640 4002504 4169275 4548300 5003130 6064400 6670840 8005008 8338550 9096600 10006260 12507825 13341680 16677100 18193200 20012520 25015650 33354200 40025040 50031300 66708400 100062600 200125200