Search a number
-
+
200083500 = 22335314821
BaseRepresentation
bin10111110110100…
…00100000101100
3111221111021222000
423323100200230
5402210133000
631504252300
74646452551
oct1373204054
9457437860
10200083500
11a2a3a771
1257011090
13325b6306
141c804a28
1512874000
hexbed082c

200083500 has 96 divisors (see below), whose sum is σ = 647424960. Its totient is φ = 53352000.

The previous prime is 200083459. The next prime is 200083501. The reversal of 200083500 is 5380002.

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 (200083501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6090 + ... + 20910.

It is an arithmetic number, because the mean of its divisors is an integer number (6744010).

Almost surely, 2200083500 is an apocalyptic number.

200083500 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 200083500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323712480).

200083500 is an abundant number, since it is smaller than the sum of its proper divisors (447341460).

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

200083500 is a wasteful number, since it uses less digits than its factorization.

200083500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14849 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 200083500 is about 14145.0874864739. The cubic root of 200083500 is about 584.8849214795.

The spelling of 200083500 in words is "two hundred million, eighty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 13500 14821 29642 44463 59284 74105 88926 133389 148210 177852 222315 266778 296420 370525 400167 444630 533556 666945 741050 800334 889260 1111575 1333890 1482100 1600668 1852625 2000835 2223150 2667780 3334725 3705250 4001670 4446300 5557875 6669450 7410500 8003340 10004175 11115750 13338900 16673625 20008350 22231500 33347250 40016700 50020875 66694500 100041750 200083500