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206793216 = 293372137
BaseRepresentation
bin11000101001101…
…10101000000000
3112102010011222000
430110312220000
5410414340331
632304144000
75060466450
oct1424665000
9472104860
10206793216
11a6802893
1259308000
1333ac5366
141d66dd60
151324c0e6
hexc536a00

206793216 has 160 divisors (see below), whose sum is σ = 699895680. Its totient is φ = 59056128.

The previous prime is 206793199. The next prime is 206793241. The reversal of 206793216 is 612397602.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 95700 + ... + 97836.

It is an arithmetic number, because the mean of its divisors is an integer number (4374348).

Almost surely, 2206793216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349947840).

206793216 is an abundant number, since it is smaller than the sum of its proper divisors (493102464).

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

206793216 is an equidigital number, since it uses as much as digits as its factorization.

206793216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 206793216 is about 14380.3065335896. The cubic root of 206793216 is about 591.3511273757.

The spelling of 206793216 in words is "two hundred six million, seven hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2137 2304 2688 3024 3456 3584 4032 4274 4608 5376 6048 6411 6912 8064 8548 10752 12096 12822 13824 14959 16128 17096 19233 24192 25644 29918 32256 34192 38466 44877 48384 51288 57699 59836 68384 76932 89754 96768 102576 115398 119672 134631 136768 153864 179508 205152 230796 239344 269262 273536 307728 359016 403893 410304 461592 478688 538524 547072 615456 718032 807786 820608 923184 957376 1077048 1094144 1230912 1436064 1615572 1641216 1846368 1914752 2154096 2461824 2872128 3231144 3282432 3692736 3829504 4308192 4923648 5744256 6462288 7385472 7659008 8616384 9847296 11488512 12924576 14770944 17232768 22977024 25849152 29541888 34465536 51698304 68931072 103396608 206793216