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206123449 = 742932
BaseRepresentation
bin11000100100100…
…11000110111001
3112100212011012211
430102103012321
5410231422244
632241535121
75052010000
oct1422230671
9470764184
10206123449
11a6395664
12590444a1
133391c54c
141d537c37
1513168934
hexc4931b9

206123449 has 15 divisors (see below), whose sum is σ = 241286543. Its totient is φ = 176074248.

The previous prime is 206123383. The next prime is 206123461. The reversal of 206123449 is 944321602.

It is a happy number.

The square root of 206123449 is 14357.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 195021225 + 11102224 = 13965^2 + 3332^2 .

It is not a de Polignac number, because 206123449 - 211 = 206121401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206123449.

It is not an unprimeable number, because it can be changed into a prime (206123149) 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 14 ways as a sum of consecutive naturals, for example, 703347 + ... + 703639.

Almost surely, 2206123449 is an apocalyptic number.

206123449 is the 14357-th square number.

206123449 is the 7179-th centered octagonal number.

It is an amenable number.

206123449 is a deficient number, since it is larger than the sum of its proper divisors (35163094).

206123449 is an frugal number, since it uses more digits than its factorization.

206123449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 206123449 is about 590.7120093122.

The spelling of 206123449 in words is "two hundred six million, one hundred twenty-three thousand, four hundred forty-nine".

Divisors: 1 7 49 293 343 2051 2401 14357 85849 100499 600943 703493 4206601 29446207 206123449