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208189696 = 281131347
BaseRepresentation
bin11000110100010…
…11100100000000
3112111202010120111
430122023210000
5411244032241
632354121104
75105404021
oct1432134400
9474663514
10208189696
11a7577000
1259880194
1334193b90
141d914c48
1513425c81
hexc68b900

208189696 has 144 divisors (see below), whose sum is σ = 502725888. Its totient is φ = 85493760.

The previous prime is 208189651. The next prime is 208189699. The reversal of 208189696 is 696981802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (208189699) 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, 4429545 + ... + 4429591.

It is an arithmetic number, because the mean of its divisors is an integer number (3491152).

Almost surely, 2208189696 is an apocalyptic number.

208189696 is a gapful number since it is divisible by the number (26) 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 208189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251362944).

208189696 is an abundant number, since it is smaller than the sum of its proper divisors (294536192).

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

208189696 is an equidigital number, since it uses as much as digits as its factorization.

208189696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 208189696 is about 14428.7801286179. The cubic root of 208189696 is about 592.6792787138.

The spelling of 208189696 in words is "two hundred eight million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 121 128 143 176 188 208 242 256 286 352 376 416 484 517 572 611 704 752 832 968 1034 1144 1222 1331 1408 1504 1573 1664 1936 2068 2288 2444 2662 2816 3008 3146 3328 3872 4136 4576 4888 5324 5687 6016 6292 6721 7744 8272 9152 9776 10648 11374 12032 12584 13442 15488 16544 17303 18304 19552 21296 22748 25168 26884 30976 33088 34606 36608 39104 42592 45496 50336 53768 62557 66176 69212 73931 78208 85184 90992 100672 107536 125114 132352 138424 147862 156416 170368 181984 201344 215072 250228 276848 295724 340736 363968 402688 430144 500456 553696 591448 727936 813241 860288 1000912 1107392 1182896 1455872 1626482 1720576 2001824 2214784 2365792 3252964 4003648 4429568 4731584 6505928 8007296 9463168 13011856 16014592 18926336 26023712 52047424 104094848 208189696