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230389146 = 232131138713
BaseRepresentation
bin11011011101101…
…11010110011010
3121001111222111100
431232313112122
5432434423041
634510012230
75465163321
oct1556672632
9531458440
10230389146
11109059859
12651a7076
1338967450
14228530b8
151535d6b6
hexdbb759a

230389146 has 48 divisors (see below), whose sum is σ = 542394216. Its totient is φ = 70253568.

The previous prime is 230389109. The next prime is 230389147. The reversal of 230389146 is 641983032.

230389146 is a `hidden beast` number, since 230 + 389 + 1 + 46 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155376225 + 75012921 = 12465^2 + 8661^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 230389146.

It is not an unprimeable number, because it can be changed into a prime (230389147) 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, 22086 + ... + 30798.

Almost surely, 2230389146 is an apocalyptic number.

230389146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230389146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271197108).

230389146 is an abundant number, since it is smaller than the sum of its proper divisors (312005070).

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

230389146 is a wasteful number, since it uses less digits than its factorization.

230389146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 230389146 is about 15178.5752295794. The cubic root of 230389146 is about 613.0379190014.

It can be divided in two parts, 230 and 389146, that added together give a square (389376 = 6242).

The spelling of 230389146 in words is "two hundred thirty million, three hundred eighty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 8713 8814 13221 17426 26139 26442 52278 78417 113269 156834 226538 339807 679614 984569 1019421 1969138 2038842 2953707 5907414 8861121 12799397 17722242 25598794 38398191 76796382 115194573 230389146