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200011022220200 = 235243127718212291
BaseRepresentation
bin101101011110100010110001…
…111011100011101110101000
3222020011212102000212212012012
4231132202301323203232220
5202203440033142021300
61545215443425535052
760062214404534342
oct5536426173435650
9866155360785165
10200011022220200
115880321a848544
121a5235867a4488
13877ac5c996379
14375682983a292
15181cb2ba6c435
hexb5e8b1ee3ba8

200011022220200 has 96 divisors (see below), whose sum is σ = 476212825740960. Its totient is φ = 78082643654400.

The previous prime is 200011022220181. The next prime is 200011022220209. The reversal of 200011022220200 is 2022220110002.

It is not an unprimeable number, because it can be changed into a prime (200011022220209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876055 + ... + 20088345.

It is an arithmetic number, because the mean of its divisors is an integer number (4960550268135).

Almost surely, 2200011022220200 is an apocalyptic number.

200011022220200 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 200011022220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238106412870480).

200011022220200 is an abundant number, since it is smaller than the sum of its proper divisors (276201803520760).

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

200011022220200 is a wasteful number, since it uses less digits than its factorization.

200011022220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213627 (or 18213618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200011022220200 its reverse (2022220110002), we get a palindrome (202033242330202).

The spelling of 200011022220200 in words is "two hundred trillion, eleven billion, twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1277 1720 2150 2554 4300 5108 6385 8600 10216 12770 25540 31925 51080 54911 63850 109822 127700 219644 255400 274555 439288 549110 1098220 1372775 2196440 2745550 5491100 10982200 18212291 36424582 72849164 91061455 145698328 182122910 364245820 455307275 728491640 783128513 910614550 1566257026 1821229100 3132514052 3642458200 3915642565 6265028104 7831285130 15662570260 19578212825 23257095607 31325140520 39156425650 46514191214 78312851300 93028382428 116285478035 156625702600 186056764856 232570956070 465141912140 581427390175 930283824280 1000055111101 1162854780350 2000110222202 2325709560700 4000220444404 4651419121400 5000275555505 8000440888808 10000551111010 20001102222020 25001377777525 40002204444040 50002755555050 100005511110100 200011022220200