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208109000 = 23531118919
BaseRepresentation
bin11000110011101…
…11110111001000
3112111121000212202
430121313313020
5411233442000
632352255332
75104616531
oct1431676710
9474530782
10208109000
11a7521410
1259841548
1334166228
141d8d3688
151340bdd5
hexc677dc8

208109000 has 64 divisors (see below), whose sum is σ = 531273600. Its totient is φ = 75672000.

The previous prime is 208108981. The next prime is 208109029. The reversal of 208109000 is 901802.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541 + ... + 20459.

It is an arithmetic number, because the mean of its divisors is an integer number (8301150).

Almost surely, 2208109000 is an apocalyptic number.

208109000 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 208109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265636800).

208109000 is an abundant number, since it is smaller than the sum of its proper divisors (323164600).

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

208109000 is a wasteful number, since it uses less digits than its factorization.

208109000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18951 (or 18937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 208109000 is about 14425.9835020008. The cubic root of 208109000 is about 592.6026930667.

The spelling of 208109000 in words is "two hundred eight million, one hundred nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 18919 37838 75676 94595 151352 189190 208109 378380 416218 472975 756760 832436 945950 1040545 1664872 1891900 2081090 2364875 3783800 4162180 4729750 5202725 8324360 9459500 10405450 18919000 20810900 26013625 41621800 52027250 104054500 208109000