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230460 = 223523167
BaseRepresentation
bin111000010000111100
3102201010120
4320100330
524333320
64534540
71646616
oct702074
9381116
10230460
1114816a
12b1450
1380b89
145ddb6
1548440
hex3843c

230460 has 48 divisors (see below), whose sum is σ = 677376. Its totient is φ = 58432.

The previous prime is 230453. The next prime is 230467. The reversal of 230460 is 64032.

230460 = 1562 + 1572 + ... + 1642.

It is an interprime number because it is at equal distance from previous prime (230453) and next prime (230467).

It is a super-2 number, since 2×2304602 = 106223623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2230460 is an apocalyptic number.

230460 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 230460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

230460 is an abundant number, since it is smaller than the sum of its proper divisors (446916).

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

230460 is a wasteful number, since it uses less digits than its factorization.

230460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230460 is about 480.0624959315. The cubic root of 230460 is about 61.3100757229.

Adding to 230460 its reverse (64032), we get a palindrome (294492).

The spelling of 230460 in words is "two hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 167 230 276 334 345 460 501 668 690 835 1002 1380 1670 2004 2505 3340 3841 5010 7682 10020 11523 15364 19205 23046 38410 46092 57615 76820 115230 230460