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230454 = 23273159
BaseRepresentation
bin111000010000110110
3102201010100
4320100312
524333304
64534530
71646610
oct702066
9381110
10230454
11148164
12b1446
1380b83
145ddb0
1548439
hex38436

230454 has 48 divisors (see below), whose sum is σ = 599040. Its totient is φ = 62640.

The previous prime is 230453. The next prime is 230467. The reversal of 230454 is 454032.

It is a happy number.

It is a super-2 number, since 2×2304542 = 106218092232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3877 + ... + 3935.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2230454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520).

230454 is an abundant number, since it is smaller than the sum of its proper divisors (368586).

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

230454 is a wasteful number, since it uses less digits than its factorization.

230454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230454 is about 480.0562467045. The cubic root of 230454 is about 61.3095436513.

Adding to 230454 its reverse (454032), we get a palindrome (684486).

The spelling of 230454 in words is "two hundred thirty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 59 62 63 93 118 126 177 186 217 279 354 413 434 531 558 651 826 1062 1239 1302 1829 1953 2478 3658 3717 3906 5487 7434 10974 12803 16461 25606 32922 38409 76818 115227 230454