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206190100 = 225217911519
BaseRepresentation
bin11000100101000…
…11011000010100
3112100222112122101
430102203120110
5410241040400
632243211444
75052405214
oct1422433024
9470875571
10206190100
11a6430746
1259076b84
133394399c
141d554244
151317d56a
hexc4a3614

206190100 has 36 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 82008160.

The previous prime is 206190097. The next prime is 206190143. The reversal of 206190100 is 1091602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12141 + ... + 23659.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2206190100 is an apocalyptic number.

206190100 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 206190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

206190100 is an abundant number, since it is smaller than the sum of its proper divisors (243781100).

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

206190100 is a wasteful number, since it uses less digits than its factorization.

206190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11705 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 206190100 is about 14359.3210145884. The cubic root of 206190100 is about 590.7756722990.

The spelling of 206190100 in words is "two hundred six million, one hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 8950 11519 17900 23038 46076 57595 115190 230380 287975 575950 1151900 2061901 4123802 8247604 10309505 20619010 41238020 51547525 103095050 206190100