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230141310 = 23571975563
BaseRepresentation
bin11011011011110…
…10110101111110
3121001001101112020
431231322311332
5432404010220
634500421010
75463111630
oct1555726576
9531041466
10230141310
111089aa633
12650a7766
13388ab6b9
14227caa50
1515310040
hexdb7ad7e

230141310 has 64 divisors (see below), whose sum is σ = 634563072. Its totient is φ = 52327296.

The previous prime is 230141293. The next prime is 230141339. The reversal of 230141310 is 13141032.

It is a super-2 number, since 2×2301413102 = 105930045137032200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230141310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38589 + ... + 44151.

It is an arithmetic number, because the mean of its divisors is an integer number (9915048).

Almost surely, 2230141310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317281536).

230141310 is an abundant number, since it is smaller than the sum of its proper divisors (404421762).

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

230141310 is a wasteful number, since it uses less digits than its factorization.

230141310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 230141310 is about 15170.4090254680. The cubic root of 230141310 is about 612.8180194961.

Adding to 230141310 its reverse (13141032), we get a palindrome (243282342).

The spelling of 230141310 in words is "two hundred thirty million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 197 210 394 591 985 1182 1379 1970 2758 2955 4137 5563 5910 6895 8274 11126 13790 16689 20685 27815 33378 38941 41370 55630 77882 83445 116823 166890 194705 233646 389410 584115 1095911 1168230 2191822 3287733 5479555 6575466 7671377 10959110 15342754 16438665 23014131 32877330 38356885 46028262 76713770 115070655 230141310