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206473000 = 23531910867
BaseRepresentation
bin11000100111010…
…00011100101000
3112101111220201011
430103220130220
5410324114000
632253233304
75054664046
oct1423503450
9471456634
10206473000
11a6604248
1259192834
1333a12696
141d5c9396
15131d72ba
hexc4e8728

206473000 has 64 divisors (see below), whose sum is σ = 508622400. Its totient is φ = 78235200.

The previous prime is 206472991. The next prime is 206473009. The reversal of 206473000 is 374602.

It is an interprime number because it is at equal distance from previous prime (206472991) and next prime (206473009).

It is not an unprimeable number, because it can be changed into a prime (206473009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13567 + ... + 24433.

It is an arithmetic number, because the mean of its divisors is an integer number (7947225).

Almost surely, 2206473000 is an apocalyptic number.

206473000 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 206473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254311200).

206473000 is an abundant number, since it is smaller than the sum of its proper divisors (302149400).

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

206473000 is a wasteful number, since it uses less digits than its factorization.

206473000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 206473000 is about 14369.1683823386. The cubic root of 206473000 is about 591.0457370913.

The spelling of 206473000 in words is "two hundred six million, four hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 10867 19000 21734 43468 54335 86936 108670 206473 217340 271675 412946 434680 543350 825892 1032365 1086700 1358375 1651784 2064730 2173400 2716750 4129460 5161825 5433500 8258920 10323650 10867000 20647300 25809125 41294600 51618250 103236500 206473000