Search a number
-
+
230325420 = 223513714159
BaseRepresentation
bin11011011101001…
…11110010101100
3121001101202002010
431232213302230
5432430403140
634504401220
75464506453
oct1556476254
9531352063
10230325420
11109015996
1265176210
1338944440
1422837b9a
1515349880
hexdba7cac

230325420 has 96 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 55883520.

The previous prime is 230325419. The next prime is 230325421. The reversal of 230325420 is 24523032.

It is an interprime number because it is at equal distance from previous prime (230325419) and next prime (230325421).

It is not an unprimeable number, because it can be changed into a prime (230325421) 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, 53301 + ... + 57459.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2230325420 is an apocalyptic number.

230325420 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 230325420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

230325420 is an abundant number, since it is smaller than the sum of its proper divisors (474145620).

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

230325420 is a wasteful number, since it uses less digits than its factorization.

230325420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 230325420 is about 15176.4758755121. The cubic root of 230325420 is about 612.9813913718.

Adding to 230325420 its reverse (24523032), we get a palindrome (254848452).

The spelling of 230325420 in words is "two hundred thirty million, three hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3692 4159 4260 4615 5538 8318 9230 11076 12477 13845 16636 18460 20795 24954 27690 41590 49908 54067 55380 62385 83180 108134 124770 162201 216268 249540 270335 295289 324402 540670 590578 648804 811005 885867 1081340 1181156 1476445 1622010 1771734 2952890 3244020 3543468 3838757 4429335 5905780 7677514 8858670 11516271 15355028 17717340 19193785 23032542 38387570 46065084 57581355 76775140 115162710 230325420