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200213424232000 = 2653159715671057
BaseRepresentation
bin101101100001011111010010…
…000001111101011001000000
3222020220012211202222101102121
4231201133102001331121000
5202220244043100411000
61545452435523254024
760112641203334244
oct5541372201753100
9866805752871377
10200213424232000
1158881044475763
121a55685281a314
138794077826aaa
14376254a942424
151823025d13b1a
hexb617d207d640

200213424232000 has 112 divisors (see below), whose sum is σ = 496139051751408. Its totient is φ = 80035217203200.

The previous prime is 200213424231943. The next prime is 200213424232007. The reversal of 200213424232000 is 232424312002.

It can be written as a sum of positive squares in 8 ways, for example, as 156506305021504 + 43707119210496 = 12510248^2 + 6611136^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (200213424232007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4940472 + ... + 20611528.

Almost surely, 2200213424232000 is an apocalyptic number.

200213424232000 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 200213424232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248069525875704).

200213424232000 is an abundant number, since it is smaller than the sum of its proper divisors (295925627519408).

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

200213424232000 is a wasteful number, since it uses less digits than its factorization.

200213424232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672681 (or 15672661 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 200213424232000 its reverse (232424312002), we get a palindrome (200445848544002).

The spelling of 200213424232000 in words is "two hundred trillion, two hundred thirteen billion, four hundred twenty-four million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1597 1600 2000 3194 4000 6388 7985 8000 12776 15970 25552 31940 39925 51104 63880 79850 102208 127760 159700 199625 255520 319400 399250 511040 638800 798500 1277600 1597000 2555200 3194000 6388000 12776000 15671057 31342114 62684228 78355285 125368456 156710570 250736912 313421140 391776425 501473824 626842280 783552850 1002947648 1253684560 1567105700 1958882125 2507369120 3134211400 3917764250 5014738240 6268422800 7835528500 12536845600 15671057000 25026678029 25073691200 31342114000 50053356058 62684228000 100106712116 125133390145 125368456000 200213424232 250266780290 400426848464 500533560580 625666950725 800853696928 1001067121160 1251333901450 1601707393856 2002134242320 2502667802900 3128334753625 4004268484640 5005335605800 6256669507250 8008536969280 10010671211600 12513339014500 20021342423200 25026678029000 40042684846400 50053356058000 100106712116000 200213424232000