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209293 = 7291031
BaseRepresentation
bin110011000110001101
3101122002121
4303012031
523144133
64252541
71531120
oct630615
9348077
10209293
11133277
12a1151
1374356
14563b7
154202d
hex3318d

209293 has 8 divisors (see below), whose sum is σ = 247680. Its totient is φ = 173040.

The previous prime is 209269. The next prime is 209299. The reversal of 209293 is 392902.

209293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 209293 - 213 = 201101 is a prime.

It is a super-3 number, since 3×2092933 = 27503335354430271, which contains 333 as substring.

It is a Duffinian number.

209293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (30960).

2209293 is an apocalyptic number.

It is an amenable number.

209293 is a deficient number, since it is larger than the sum of its proper divisors (38387).

209293 is a wasteful number, since it uses less digits than its factorization.

209293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 209293 is about 457.4855188965. The cubic root of 209293 is about 59.3724405176.

Multiplying 209293 by its sum of digits (25), we get a palindrome (5232325).

The spelling of 209293 in words is "two hundred nine thousand, two hundred ninety-three".

Divisors: 1 7 29 203 1031 7217 29899 209293