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200073132 = 22337318537
BaseRepresentation
bin10111110110011…
…01111110101100
3111221110202202000
423323031332230
5402204320012
631504132300
74646410410
oct1373157654
9457422660
10200073132
11a2a329a6
1257007090
13325b168c
141c800d40
1512870ddc
hexbecdfac

200073132 has 96 divisors (see below), whose sum is σ = 612003840. Its totient is φ = 55313280.

The previous prime is 200073131. The next prime is 200073143. The reversal of 200073132 is 231370002.

200073132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200073131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19168 + ... + 27704.

It is an arithmetic number, because the mean of its divisors is an integer number (6375040).

Almost surely, 2200073132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200073132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306001920).

200073132 is an abundant number, since it is smaller than the sum of its proper divisors (411930708).

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

200073132 is a wasteful number, since it uses less digits than its factorization.

200073132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 200073132 is about 14144.7209940670. The cubic root of 200073132 is about 584.8748187114.

The spelling of 200073132 in words is "two hundred million, seventy-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 8537 11718 17074 23436 25611 34148 51222 59759 76833 102444 119518 153666 179277 230499 239036 264647 307332 358554 460998 529294 537831 717108 793941 921996 1058588 1075662 1587882 1613493 1852529 2151324 2381823 3175764 3226986 3705058 4763646 5557587 6453972 7145469 7410116 9527292 11115174 14290938 16672761 22230348 28581876 33345522 50018283 66691044 100036566 200073132