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230420 = 22541281
BaseRepresentation
bin111000010000010100
3102201002002
4320100110
524333140
64534432
71646531
oct702024
9381062
10230420
11148133
12b1418
1380b58
145dd88
1548415
hex38414

230420 has 24 divisors (see below), whose sum is σ = 497448. Its totient is φ = 89600.

The previous prime is 230393. The next prime is 230431. The reversal of 230420 is 24032.

230420 = T236 + T237 + ... + T243.

It can be written as a sum of positive squares in 4 ways, for example, as 3844 + 226576 = 62^2 + 476^2 .

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 230420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (20727).

2230420 is an apocalyptic number.

230420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248724).

230420 is an abundant number, since it is smaller than the sum of its proper divisors (267028).

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

230420 is a wasteful number, since it uses less digits than its factorization.

230420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 230420 is about 480.0208328812. The cubic root of 230420 is about 61.3065284046.

Adding to 230420 its reverse (24032), we get a palindrome (254452).

The spelling of 230420 in words is "two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 281 410 562 820 1124 1405 2810 5620 11521 23042 46084 57605 115210 230420