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208238352 = 24374431399
BaseRepresentation
bin11000110100101…
…11011100010000
3112111211121022120
430122113130100
5411302111402
632355134240
75105665620
oct1432273420
9474747276
10208238352
11a75aa613
12598a4380
13341b007a
141d928880
15134353bc
hexc697710

208238352 has 80 divisors (see below), whose sum is σ = 616627200. Its totient is φ = 59319936.

The previous prime is 208238311. The next prime is 208238383. The reversal of 208238352 is 253832802.

It is a super-2 number, since 2×2082383522 = 86726422487351808, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 148149 + ... + 149547.

It is an arithmetic number, because the mean of its divisors is an integer number (7707840).

Almost surely, 2208238352 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 208238352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308313600).

208238352 is an abundant number, since it is smaller than the sum of its proper divisors (408388848).

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

208238352 is a wasteful number, since it uses less digits than its factorization.

208238352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 208238352 is about 14430.4661047383. The cubic root of 208238352 is about 592.7254467956.

The spelling of 208238352 in words is "two hundred eight million, two hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 443 886 1329 1399 1772 2658 2798 3101 3544 4197 5316 5596 6202 7088 8394 9303 9793 10632 11192 12404 16788 18606 19586 21264 22384 24808 29379 33576 37212 39172 49616 58758 67152 74424 78344 117516 148848 156688 235032 470064 619757 1239514 1859271 2479028 3718542 4338299 4958056 7437084 8676598 9916112 13014897 14874168 17353196 26029794 29748336 34706392 52059588 69412784 104119176 208238352