Search a number
-
+
200202313200 = 24352237253707
BaseRepresentation
bin1011101001110011111…
…1001101110111110000
3201010202102222021000220
42322130333031313300
511240003243010300
6231545514213040
720315125404261
oct2723477156760
9633672867026
10200202313200
11779a5a9409a
1232973424180
1315b57206326
149992d06968
15531b0d8da0
hex2e9cfcddf0

200202313200 has 120 divisors (see below), whose sum is σ = 669198085248. Its totient is φ = 51066090240.

The previous prime is 200202313151. The next prime is 200202313217. The reversal of 200202313200 is 2313202002.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200202313200.

It is a congruent number.

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, 3599254 + ... + 3654453.

Almost surely, 2200202313200 is an apocalyptic number.

200202313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202313200 is an abundant number, since it is smaller than the sum of its proper divisors (468995772048).

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

200202313200 is a wasteful number, since it uses less digits than its factorization.

200202313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253751 (or 7253740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200202313200 its reverse (2313202002), we get a palindrome (202515515202).

The spelling of 200202313200 in words is "two hundred billion, two hundred two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 7253707 14507414 21761121 29014828 36268535 43522242 58029656 72537070 87044484 108805605 116059312 145074140 166835261 174088968 181342675 217611210 290148280 333670522 348177936 362685350 435222420 500505783 544028025 580296560 667341044 725370700 834176305 870444840 1001011566 1088056050 1334682088 1450741400 1668352610 1740889680 2002023132 2176112100 2502528915 2669364176 2901482800 3336705220 4004046264 4170881525 4352224200 5005057830 6673410440 8008092528 8341763050 8704448400 10010115660 12512644575 13346820880 16683526100 20020231320 25025289150 33367052200 40040462640 50050578300 66734104400 100101156600 200202313200