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230321310 = 235233631
BaseRepresentation
bin11011011101001…
…10110010011110
3121001101112102220
431232212302132
5432430240220
634504330210
75464461462
oct1556466236
9531345386
10230321310
1110901289a
1265173966
13389425cb
14228364a2
1515348540
hexdba6c9e

230321310 has 64 divisors (see below), whose sum is σ = 578810880. Its totient is φ = 58655520.

The previous prime is 230321281. The next prime is 230321317. The reversal of 230321310 is 13123032.

It is a super-2 number, since 2×2303213102 = 106095811680232200, 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 230321310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230321317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364695 + ... + 365325.

It is an arithmetic number, because the mean of its divisors is an integer number (9043920).

Almost surely, 2230321310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289405440).

230321310 is an abundant number, since it is smaller than the sum of its proper divisors (348489570).

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

230321310 is an equidigital number, since it uses as much as digits as its factorization.

230321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 230321310 is about 15176.3404679784. The cubic root of 230321310 is about 612.9777452719.

Adding to 230321310 its reverse (13123032), we get a palindrome (243444342).

It can be divided in two parts, 23032 and 1310, that added together give a palindrome (24342).

The spelling of 230321310 in words is "two hundred thirty million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 631 690 1058 1262 1587 1893 2645 3155 3174 3786 5290 6310 7935 9465 12167 14513 15870 18930 24334 29026 36501 43539 60835 72565 73002 87078 121670 145130 182505 217695 333799 365010 435390 667598 1001397 1668995 2002794 3337990 5006985 7677377 10013970 15354754 23032131 38386885 46064262 76773770 115160655 230321310