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230501310 = 23513619689
BaseRepresentation
bin11011011110100…
…10101110111110
3121001201200100120
431233102232332
5433002020220
634512235410
75466141324
oct1557225676
9531650316
10230501310
11109126056
126523bb66
13389a6510
1422881d14
1515381a40
hexdbd2bbe

230501310 has 64 divisors (see below), whose sum is σ = 605586240. Its totient is φ = 55802880.

The previous prime is 230501269. The next prime is 230501311. The reversal of 230501310 is 13105032.

It is a happy number.

It is a super-2 number, since 2×2305013102 = 106261707823432200, which contains 22 as substring.

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

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 230501310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230501311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18946 + ... + 28634.

It is an arithmetic number, because the mean of its divisors is an integer number (9462285).

Almost surely, 2230501310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230501310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

230501310 is an abundant number, since it is smaller than the sum of its proper divisors (375084930).

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

230501310 is a wasteful number, since it uses less digits than its factorization.

230501310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 230501310 is about 15182.2695931801. The cubic root of 230501310 is about 613.1373878504.

Adding to 230501310 its reverse (13105032), we get a palindrome (243606342).

The spelling of 230501310 in words is "two hundred thirty million, five hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1586 1830 2379 3965 4758 7930 9689 11895 19378 23790 29067 48445 58134 96890 125957 145335 251914 290670 377871 591029 629785 755742 1182058 1259570 1773087 1889355 2955145 3546174 3778710 5910290 7683377 8865435 15366754 17730870 23050131 38416885 46100262 76833770 115250655 230501310