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208146631 = 7115945817
BaseRepresentation
bin11000110100000…
…01000011000111
3112111122221111111
430122001003013
5411241143011
632353145451
75105134330
oct1432010307
9474587444
10208146631
11a7547710
125985b287
133417a3b4
141d903287
1513418121
hexc6810c7

208146631 has 16 divisors (see below), whose sum is σ = 263911680. Its totient is φ = 159439680.

The previous prime is 208146581. The next prime is 208146641. The reversal of 208146631 is 136641802.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 208146631 - 213 = 208138439 is a prime.

It is a super-2 number, since 2×2081466312 = 86650039993300322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208146593 and 208146602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208146641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18366 + ... + 27451.

It is an arithmetic number, because the mean of its divisors is an integer number (16494480).

Almost surely, 2208146631 is an apocalyptic number.

208146631 is a deficient number, since it is larger than the sum of its proper divisors (55765049).

208146631 is a wasteful number, since it uses less digits than its factorization.

208146631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45894.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 208146631 is about 14427.2877215366. The cubic root of 208146631 is about 592.6384097471.

The spelling of 208146631 in words is "two hundred eight million, one hundred forty-six thousand, six hundred thirty-one".

Divisors: 1 7 11 59 77 413 649 4543 45817 320719 503987 2703203 3527909 18922421 29735233 208146631