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200120250 = 235311127191
BaseRepresentation
bin10111110110110…
…01011110111010
3111221120011101010
423323121132322
5402212322000
631505134350
74646664651
oct1373313672
9457504333
10200120250
11a2a65340
125702a3b6
13325c9c65
141c814198
151287ed50
hexbed97ba

200120250 has 128 divisors (see below), whose sum is σ = 552075264. Its totient is φ = 47880000.

The previous prime is 200120203. The next prime is 200120251. The reversal of 200120250 is 52021002.

It is a super-3 number, since 3×2001202503 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (200120251) 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 63 ways as a sum of consecutive naturals, for example, 1047655 + ... + 1047845.

It is an arithmetic number, because the mean of its divisors is an integer number (4313088).

Almost surely, 2200120250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276037632).

200120250 is an abundant number, since it is smaller than the sum of its proper divisors (351955014).

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

200120250 is a wasteful number, since it uses less digits than its factorization.

200120250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

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

The square root of 200120250 is about 14146.3864643944. The cubic root of 200120250 is about 584.9207285384.

Adding to 200120250 its reverse (52021002), we get a palindrome (252141252).

The spelling of 200120250 in words is "two hundred million, one hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 127 150 165 191 250 254 275 330 375 381 382 550 573 635 750 762 825 955 1146 1270 1375 1397 1650 1905 1910 2101 2750 2794 2865 3175 3810 4125 4191 4202 4775 5730 6303 6350 6985 8250 8382 9525 9550 10505 12606 13970 14325 15875 19050 20955 21010 23875 24257 28650 31515 31750 34925 41910 47625 47750 48514 52525 63030 69850 71625 72771 95250 104775 105050 121285 143250 145542 157575 174625 209550 242570 262625 266827 315150 349250 363855 523875 525250 533654 606425 727710 787875 800481 1047750 1212850 1334135 1575750 1600962 1819275 2668270 3032125 3638550 4002405 6064250 6670675 8004810 9096375 13341350 18192750 20012025 33353375 40024050 66706750 100060125 200120250