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208228692 = 2237127131149
BaseRepresentation
bin11000110100101…
…01000101010100
3112111211010001210
430122111011110
5411301304232
632355021420
75105625510
oct1432250524
9474733053
10208228692
11a75a3331
125989a870
13341a8859
141d925140
15134325cc
hexc695154

208228692 has 96 divisors (see below), whose sum is σ = 567705600. Its totient is φ = 58181760.

The previous prime is 208228687. The next prime is 208228693. The reversal of 208228692 is 296822802.

It is a self number, because there is not a number n which added to its sum of digits gives 208228692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208228693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397434 + ... + 1397582.

It is an arithmetic number, because the mean of its divisors is an integer number (5913600).

Almost surely, 2208228692 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 208228692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283852800).

208228692 is an abundant number, since it is smaller than the sum of its proper divisors (359476908).

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

208228692 is a wasteful number, since it uses less digits than its factorization.

208228692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 208228692 is about 14430.1313923332. The cubic root of 208228692 is about 592.7162813107.

The spelling of 208228692 in words is "two hundred eight million, two hundred twenty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 131 149 254 262 298 381 393 447 508 524 596 762 786 889 894 917 1043 1524 1572 1778 1788 1834 2086 2667 2751 3129 3556 3668 4172 5334 5502 6258 10668 11004 12516 16637 18923 19519 33274 37846 39038 49911 56769 58557 66548 75692 78076 99822 113538 116459 117114 132461 136633 199644 227076 232918 234228 264922 273266 349377 397383 409899 465836 529844 546532 698754 794766 819798 1397508 1589532 1639596 2478913 4957826 7436739 9915652 14873478 17352391 29746956 34704782 52057173 69409564 104114346 208228692