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200032210000 = 245472408229
BaseRepresentation
bin1011101001001011011…
…0010100110001010000
3201010022120220010022101
42322102312110301100
511234131221210000
6231521000250144
720310661505500
oct2722266246120
9633276803271
10200032210000
1177918a71037
1232926470954
1315b2abb904c
1499784a7a00
15530b1d7e6a
hex2e92d94c50

200032210000 has 150 divisors (see below), whose sum is σ = 563368422210. Its totient is φ = 68582304000.

The previous prime is 200032209997. The next prime is 200032210003. The reversal of 200032210000 is 12230002.

It is an interprime number because it is at equal distance from previous prime (200032209997) and next prime (200032210003).

It can be written as a sum of positive squares in 5 ways, for example, as 72042854464 + 127989355536 = 268408^2 + 357756^2 .

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 (200032210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 285886 + ... + 694114.

Almost surely, 2200032210000 is an apocalyptic number.

200032210000 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 200032210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281684211105).

200032210000 is an abundant number, since it is smaller than the sum of its proper divisors (363336212210).

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

200032210000 is an equidigital number, since it uses as much as digits as its factorization.

200032210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408271 (or 408243 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 200032210000 its reverse (12230002), we get a palindrome (200044440002).

The spelling of 200032210000 in words is "two hundred billion, thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 408229 490000 816458 1632916 2041145 2857603 3265832 4082290 5715206 6531664 8164580 10205725 11430412 14288015 16329160 20003221 20411450 22860824 28576030 32658320 40006442 40822900 45721648 51028625 57152060 71440075 80012884 81645800 100016105 102057250 114304120 142880150 160025768 163291600 200032210 204114500 228608240 255143125 285760300 320051536 357200375 400064420 408229000 500080525 510286250 571520600 714400750 800128840 816458000 1000161050 1020572500 1143041200 1428801500 1600257680 1786001875 2000322100 2041145000 2500402625 2857603000 3572003750 4000644200 4082290000 5000805250 5715206000 7144007500 8001288400 10001610500 12502013125 14288015000 20003221000 25004026250 28576030000 40006442000 50008052500 100016105000 200032210000