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200212202025 = 3252111072413137
BaseRepresentation
bin1011101001110110010…
…0111100001000101001
3201010210010120122221200
42322131210330020221
511240013310431100
6231550510154413
720315305431543
oct2723544741051
9633703518850
10200212202025
1177a00628780
12329767b2a09
1315b592893c4
14999435c693
15531bddde00
hex2e9d93c229

200212202025 has 144 divisors (see below), whose sum is σ = 396623418048. Its totient is φ = 95735808000.

The previous prime is 200212202011. The next prime is 200212202039. The reversal of 200212202025 is 520202212002.

200212202025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200212202011) and next prime (200212202039).

It is not a de Polignac number, because 200212202025 - 217 = 200212070953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200212201989 and 200212202007.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 63821257 + ... + 63824393.

It is an arithmetic number, because the mean of its divisors is an integer number (2754329292).

Almost surely, 2200212202025 is an apocalyptic number.

200212202025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200212202025 is a deficient number, since it is larger than the sum of its proper divisors (196411216023).

200212202025 is a wasteful number, since it uses less digits than its factorization.

200212202025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 200212202025 its reverse (520202212002), we get a palindrome (720414414027).

The spelling of 200212202025 in words is "two hundred billion, two hundred twelve million, two hundred two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 107 165 225 241 275 321 495 535 723 825 963 1177 1205 1605 2169 2475 2651 2675 3137 3531 3615 4815 5885 6025 7953 8025 9411 10593 10845 13255 15685 17655 18075 23859 24075 25787 28233 29425 34507 39765 47055 52965 54225 66275 77361 78425 88275 103521 119295 128935 141165 172535 198825 232083 235275 264825 283657 310563 335659 386805 517605 596475 644675 705825 756017 850971 862675 1006977 1160415 1418285 1552815 1678295 1934025 2268051 2552913 2588025 3020931 3692249 3780085 4254855 5034885 5802075 6804153 7091425 7764075 8316187 8391475 11076747 11340255 12764565 15104655 18461245 18900425 21274275 24948561 25174425 33230241 34020765 41580935 55383735 56701275 63822825 74845683 75523275 80893819 92306225 124742805 166151205 170103825 207904675 242681457 276918675 374228415 404469095 623714025 728044371 830756025 889832009 1213407285 1871142075 2022345475 2669496027 3640221855 4449160045 6067036425 8008488081 13347480135 18201109275 22245800225 40042440405 66737400675 200212202025