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200112022000 = 24531125735393
BaseRepresentation
bin1011101001011110011…
…0110010000111110000
3201010112011001222210101
42322113212302013300
511234312134201000
6231532531042144
720312651056522
oct2722746620760
9633464058711
10200112022000
117795a023a70
1232949140354
1315b415b1997
149984d21a12
155313200e6a
hex2e979b21f0

200112022000 has 160 divisors (see below), whose sum is σ = 529928028864. Its totient is φ = 72482816000.

The previous prime is 200112021983. The next prime is 200112022001. The reversal of 200112022000 is 220211002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200112022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5636304 + ... + 5671696.

Almost surely, 2200112022000 is an apocalyptic number.

200112022000 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 200112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264964014432).

200112022000 is an abundant number, since it is smaller than the sum of its proper divisors (329816006864).

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

200112022000 is a wasteful number, since it uses less digits than its factorization.

200112022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35684 (or 35668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200112022000 its reverse (220211002), we get a palindrome (200332233002).

The spelling of 200112022000 in words is "two hundred billion, one hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 257 275 400 440 500 514 550 880 1000 1028 1100 1285 1375 2000 2056 2200 2570 2750 2827 4112 4400 5140 5500 5654 6425 10280 11000 11308 12850 14135 20560 22000 22616 25700 28270 32125 35393 45232 51400 56540 64250 70675 70786 102800 113080 128500 141350 141572 176965 226160 257000 282700 283144 353375 353930 389323 514000 565400 566288 706750 707860 778646 884825 1130800 1413500 1415720 1557292 1769650 1946615 2827000 2831440 3114584 3539300 3893230 4424125 5654000 6229168 7078600 7786460 8848250 9096001 9733075 14157200 15572920 17696500 18192002 19466150 31145840 35393000 36384004 38932300 45480005 48665375 70786000 72768008 77864600 90960010 97330750 100056011 145536016 155729200 181920020 194661500 200112022 227400025 363840040 389323000 400224044 454800050 500280055 727680080 778646000 800448088 909600100 1000560110 1137000125 1600896176 1819200200 2001120220 2274000250 2501400275 3638400400 4002240440 4548000500 5002800550 8004480880 9096001000 10005601100 12507001375 18192002000 20011202200 25014002750 40022404400 50028005500 100056011000 200112022000