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200085500 = 22532913799
BaseRepresentation
bin10111110110100…
…00111111111100
3111221111101201002
423323100333330
5402210214000
631504305432
74646461436
oct1373207774
9457441632
10200085500
11a2a4121a
1257012278
13325b71b4
141c805656
15128748d5
hexbed0ffc

200085500 has 48 divisors (see below), whose sum is σ = 452088000. Its totient is φ = 77268800.

The previous prime is 200085499. The next prime is 200085503. The reversal of 200085500 is 5580002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200085503) 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 15 ways as a sum of consecutive naturals, for example, 7601 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (9418500).

Almost surely, 2200085500 is an apocalyptic number.

200085500 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 200085500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226044000).

200085500 is an abundant number, since it is smaller than the sum of its proper divisors (252002500).

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

200085500 is a wasteful number, since it uses less digits than its factorization.

200085500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847 (or 13835 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 200085500 is about 14145.1581822191. The cubic root of 200085500 is about 584.8868702758.

The spelling of 200085500 in words is "two hundred million, eighty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 7250 13799 14500 27598 55196 68995 137990 275980 344975 400171 689950 800342 1379900 1600684 1724875 2000855 3449750 4001710 6899500 8003420 10004275 20008550 40017100 50021375 100042750 200085500