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208066716 = 2232111323109
BaseRepresentation
bin11000110011011…
…01100010011100
3112111111212212200
430121231202130
5411231113331
632351331500
75104352334
oct1431554234
9474455780
10208066716
11a74a2670
1259820b90
133414cc00
141d8c20c4
15133ee5e6
hexc66d89c

208066716 has 108 divisors (see below), whose sum is σ = 621489960. Its totient is φ = 58181760.

The previous prime is 208066709. The next prime is 208066751. The reversal of 208066716 is 617660802.

It is a happy number.

208066716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 65370 + ... + 68478.

Almost surely, 2208066716 is an apocalyptic number.

208066716 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 208066716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310744980).

208066716 is an abundant number, since it is smaller than the sum of its proper divisors (413423244).

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

208066716 is a wasteful number, since it uses less digits than its factorization.

208066716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 208066716 is about 14424.5178775583. The cubic root of 208066716 is about 592.5625549506.

The spelling of 208066716 in words is "two hundred eight million, sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1716 1859 2028 2574 3042 3109 3718 5148 5577 6084 6218 7436 9327 11154 12436 16731 18654 22308 27981 33462 34199 37308 40417 55962 66924 68398 80834 102597 111924 121251 136796 161668 205194 242502 307791 363753 410388 444587 485004 525421 615582 727506 889174 1050842 1231164 1333761 1455012 1576263 1778348 2101684 2667522 3152526 4001283 4728789 5335044 5779631 6305052 8002566 9457578 11559262 16005132 17338893 18915156 23118524 34677786 52016679 69355572 104033358 208066716