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214292 = 22132317
BaseRepresentation
bin110100010100010100
3101212221202
4310110110
523324132
64332032
71551521
oct642424
9355852
10214292
11137001
12a4018
1376700
1458148
1543762
hex34514

214292 has 18 divisors (see below), whose sum is σ = 407358. Its totient is φ = 98592.

The previous prime is 214283. The next prime is 214297. The reversal of 214292 is 292412.

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 198916 = 124^2 + 446^2 .

It is a super-2 number, since 2×2142922 = 91842122528, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214292.

It is not an unprimeable number, because it can be changed into a prime (214297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 518 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (22631).

2214292 is an apocalyptic number.

It is an amenable number.

214292 is a deficient number, since it is larger than the sum of its proper divisors (193066).

214292 is a wasteful number, since it uses less digits than its factorization.

214292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 214292 is about 462.9168391839. The cubic root of 214292 is about 59.8414331637.

The spelling of 214292 in words is "two hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 4 13 26 52 169 317 338 634 676 1268 4121 8242 16484 53573 107146 214292