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219830 = 25131989
BaseRepresentation
bin110101101010110110
3102011112212
4311222312
524013310
64413422
71603622
oct655266
9364485
10219830
11140186
12a7272
13790a0
145a182
1545205
hex35ab6

219830 has 32 divisors (see below), whose sum is σ = 453600. Its totient is φ = 76032.

The previous prime is 219829. The next prime is 219839. The reversal of 219830 is 38912.

219830 is a Rhonda number in base 6.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 219796 and 219805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2219830 is an apocalyptic number.

219830 is an abundant number, since it is smaller than the sum of its proper divisors (233770).

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

219830 is a wasteful number, since it uses less digits than its factorization.

219830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 219830 is about 468.8603203514. The cubic root of 219830 is about 60.3525540001.

The spelling of 219830 in words is "two hundred nineteen thousand, eight hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 89 95 130 178 190 247 445 494 890 1157 1235 1691 2314 2470 3382 5785 8455 11570 16910 21983 43966 109915 219830