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208768212 = 223310119139
BaseRepresentation
bin11000111000110…
…00110011010100
3112112211112011000
430130120303110
5411421040322
632414343300
75113333452
oct1434306324
9475745130
10208768212
11a7931714
1259abab30
13343372b3
141da259d2
15134dc3ac
hexc718cd4

208768212 has 48 divisors (see below), whose sum is σ = 546638400. Its totient is φ = 68896800.

The previous prime is 208768207. The next prime is 208768213. The reversal of 208768212 is 212867802.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208768213) 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 15 ways as a sum of consecutive naturals, for example, 1339 + ... + 20477.

It is an arithmetic number, because the mean of its divisors is an integer number (11388300).

Almost surely, 2208768212 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 208768212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273319200).

208768212 is an abundant number, since it is smaller than the sum of its proper divisors (337870188).

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

208768212 is a wasteful number, since it uses less digits than its factorization.

208768212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19253 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 208768212 is about 14448.8135153029. The cubic root of 208768212 is about 593.2277486096.

The spelling of 208768212 in words is "two hundred eight million, seven hundred sixty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 19139 38278 57417 76556 114834 172251 229668 344502 516753 689004 1033506 1933039 2067012 3866078 5799117 7732156 11598234 17397351 23196468 34794702 52192053 69589404 104384106 208768212