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230410260 = 223254572801
BaseRepresentation
bin11011011101111…
…00100000010100
3121001120001110100
431232330200110
5432441112020
634510254100
75465312013
oct1556744024
9531501410
10230410260
11109073703
12651b7330
1338973c42
142285aa7a
1515364a90
hexdbbc814

230410260 has 72 divisors (see below), whose sum is σ = 700690536. Its totient is φ = 61286400.

The previous prime is 230410247. The next prime is 230410261. The reversal of 230410260 is 62014032.

It is a happy number.

230410260 is a `hidden beast` number, since 230 + 410 + 26 + 0 = 666.

230410260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59166864 + 171243396 = 7692^2 + 13086^2 .

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 (230410261) 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, 80860 + ... + 83660.

It is an arithmetic number, because the mean of its divisors is an integer number (9731813).

Almost surely, 2230410260 is an apocalyptic number.

230410260 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 230410260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350345268).

230410260 is an abundant number, since it is smaller than the sum of its proper divisors (470280276).

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

230410260 is a wasteful number, since it uses less digits than its factorization.

230410260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230410260 is about 15179.2707334707. The cubic root of 230410260 is about 613.0566457043.

Adding to 230410260 its reverse (62014032), we get a palindrome (292424292).

The spelling of 230410260 in words is "two hundred thirty million, four hundred ten thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 2801 4113 4570 5484 5602 6855 8226 8403 9140 11204 13710 14005 16452 16806 20565 25209 27420 28010 33612 41130 42015 50418 56020 82260 84030 100836 126045 168060 252090 504180 1280057 2560114 3840171 5120228 6400285 7680342 11520513 12800570 15360684 19200855 23041026 25601140 38401710 46082052 57602565 76803420 115205130 230410260