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200032132200 = 233521487224201
BaseRepresentation
bin1011101001001011011…
…0000001110001101000
3201010022120202011120220
42322102312001301220
511234131211212300
6231520554450040
720310661032615
oct2722266016150
9633276664526
10200032132200
1177918a1863a
1232926433920
1315b2ab8c804
14997848750c
15530b1beda0
hex2e92d81c68

200032132200 has 96 divisors (see below), whose sum is σ = 620519391360. Its totient is φ = 53305792000.

The previous prime is 200032132151. The next prime is 200032132207. The reversal of 200032132200 is 2231230002.

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 200032132200.

It is not an unprimeable number, because it can be changed into a prime (200032132207) 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 23 ways as a sum of consecutive naturals, for example, 780100 + ... + 1004300.

It is an arithmetic number, because the mean of its divisors is an integer number (6463743660).

Almost surely, 2200032132200 is an apocalyptic number.

200032132200 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 200032132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310259695680).

200032132200 is an abundant number, since it is smaller than the sum of its proper divisors (420487259160).

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

200032132200 is a wasteful number, since it uses less digits than its factorization.

200032132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225707 (or 225698 counting only the distinct ones).

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

Adding to 200032132200 its reverse (2231230002), we get a palindrome (202263362202).

The spelling of 200032132200 in words is "two hundred billion, thirty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1487 2974 4461 5948 7435 8922 11896 14870 17844 22305 29740 35688 37175 44610 59480 74350 89220 111525 148700 178440 223050 224201 297400 446100 448402 672603 892200 896804 1121005 1345206 1793608 2242010 2690412 3363015 4484020 5380824 5605025 6726030 8968040 11210050 13452060 16815075 22420100 26904120 33630150 44840200 67260300 134520600 333386887 666773774 1000160661 1333547548 1666934435 2000321322 2667095096 3333868870 4000642644 5000803305 6667737740 8001285288 8334672175 10001606610 13335475480 16669344350 20003213220 25004016525 33338688700 40006426440 50008033050 66677377400 100016066100 200032132200