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208833834 = 231116718947
BaseRepresentation
bin11000111001010…
…00110100101010
3112112221212011110
430130220310222
5411430140314
632420011150
75114025666
oct1434506452
9475855143
10208833834
11a7976a50
1259b30ab6
133435b121
141da418a6
1513501a59
hexc728d2a

208833834 has 32 divisors (see below), whose sum is σ = 458390016. Its totient is φ = 62900720.

The previous prime is 208833827. The next prime is 208833857. The reversal of 208833834 is 438338802.

It is a happy number.

It is a super-2 number, since 2×2088338342 = 87223140446279112, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 208833792 and 208833801.

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, 1549 + ... + 20495.

It is an arithmetic number, because the mean of its divisors is an integer number (14324688).

Almost surely, 2208833834 is an apocalyptic number.

208833834 is an abundant number, since it is smaller than the sum of its proper divisors (249556182).

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

208833834 is a wasteful number, since it uses less digits than its factorization.

208833834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130.

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 208833834 is about 14451.0841807803. The cubic root of 208833834 is about 593.2898984182.

The spelling of 208833834 in words is "two hundred eight million, eight hundred thirty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 167 334 501 1002 1837 3674 5511 11022 18947 37894 56841 113682 208417 416834 625251 1250502 3164149 6328298 9492447 18984894 34805639 69611278 104416917 208833834