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200188644700 = 225211743244939
BaseRepresentation
bin1011101001110000101…
…1000100110101011100
3201010201111020211101011
42322130023010311130
511234441243112300
6231544305225004
720314601255362
oct2723413046534
9633644224334
10200188644700
11779992a8810
123296a932164
1315b5442ba65
149991189632
155319cd8eba
hex2e9c2c4d5c

200188644700 has 72 divisors (see below), whose sum is σ = 474540877440. Its totient is φ = 72697598400.

The previous prime is 200188644697. The next prime is 200188644763. The reversal of 200188644700 is 7446881002.

200188644700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694831 + ... + 939769.

It is an arithmetic number, because the mean of its divisors is an integer number (6590845520).

Almost surely, 2200188644700 is an apocalyptic number.

200188644700 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 200188644700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237270438720).

200188644700 is an abundant number, since it is smaller than the sum of its proper divisors (274352232740).

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

200188644700 is a wasteful number, since it uses less digits than its factorization.

200188644700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245707 (or 245700 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 200188644700 in words is "two hundred billion, one hundred eighty-eight million, six hundred forty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 743 1100 1486 2972 3715 7430 8173 14860 16346 18575 32692 37150 40865 74300 81730 163460 204325 244939 408650 489878 817300 979756 1224695 2449390 2694329 4898780 5388658 6123475 10777316 12246950 13471645 24493900 26943290 53886580 67358225 134716450 181989677 269432900 363979354 727958708 909948385 1819896770 2001886447 3639793540 4003772894 4549741925 8007545788 9099483850 10009432235 18198967700 20018864470 40037728940 50047161175 100094322350 200188644700