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208190664 = 2332112231039
BaseRepresentation
bin11000110100010…
…11110011001000
3112111202011220100
430122023303020
5411244100124
632354125400
75105406603
oct1432136310
9474664810
10208190664
11a7577800
1259880860
1334194456
141d91533a
15134261c9
hexc68bcc8

208190664 has 144 divisors (see below), whose sum is σ = 647337600. Its totient is φ = 60287040.

The previous prime is 208190663. The next prime is 208190693. The reversal of 208190664 is 466091802.

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

It is not an unprimeable number, because it can be changed into a prime (208190663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199857 + ... + 200895.

It is an arithmetic number, because the mean of its divisors is an integer number (4495400).

Almost surely, 2208190664 is an apocalyptic number.

208190664 is a gapful number since it is divisible by the number (24) 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 208190664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323668800).

208190664 is an abundant number, since it is smaller than the sum of its proper divisors (439146936).

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

208190664 is a wasteful number, since it uses less digits than its factorization.

208190664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 208190664 is about 14428.8136726482. The cubic root of 208190664 is about 592.6801972873.

The spelling of 208190664 in words is "two hundred eight million, one hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 121 132 138 184 198 207 242 253 264 276 363 396 414 484 506 552 726 759 792 828 968 1012 1039 1089 1452 1518 1656 2024 2078 2178 2277 2783 2904 3036 3117 4156 4356 4554 5566 6072 6234 8312 8349 8712 9108 9351 11132 11429 12468 16698 18216 18702 22264 22858 23897 24936 25047 33396 34287 37404 45716 47794 50094 66792 68574 71691 74808 91432 95588 100188 102861 125719 137148 143382 191176 200376 205722 215073 251438 262867 274296 286764 377157 411444 430146 502876 525734 573528 754314 788601 822888 860292 1005752 1051468 1131471 1508628 1577202 1720584 2102936 2262942 2365803 2891537 3017256 3154404 4525884 4731606 5783074 6308808 8674611 9051768 9463212 11566148 17349222 18926424 23132296 26023833 34698444 52047666 69396888 104095332 208190664