Search a number
-
+
230315454 = 23319376067
BaseRepresentation
bin11011011101001…
…01010110111110
3121001101020102000
431232211112332
5432430043304
634504243130
75464435425
oct1556452676
9531336360
10230315454
11109009456
12651704a6
133893ca45
14228342bc
1515346939
hexdba55be

230315454 has 64 divisors (see below), whose sum is σ = 553401600. Its totient is φ = 70753824.

The previous prime is 230315453. The next prime is 230315471. The reversal of 230315454 is 454513032.

It is a super-2 number, since 2×2303154542 = 106090416702452232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230315453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34929 + ... + 40995.

It is an arithmetic number, because the mean of its divisors is an integer number (8646900).

Almost surely, 2230315454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230315454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276700800).

230315454 is an abundant number, since it is smaller than the sum of its proper divisors (323086146).

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

230315454 is a wasteful number, since it uses less digits than its factorization.

230315454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 230315454 is about 15176.1475348654. The cubic root of 230315454 is about 612.9725501699.

Adding to 230315454 its reverse (454513032), we get a palindrome (684828486).

The spelling of 230315454 in words is "two hundred thirty million, three hundred fifteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 4218 6067 6327 12134 12654 18201 18981 36402 37962 54603 109206 115273 163809 224479 230546 327618 345819 448958 673437 691638 1037457 1346874 2020311 2074914 3112371 4040622 4265101 6060933 6224742 8530202 12121866 12795303 25590606 38385909 76771818 115157727 230315454