Search a number
-
+
230234520 = 233531591049
BaseRepresentation
bin11011011100100…
…01100110011000
3121001020010101110
431232101212120
5432420001040
634502420320
75463650445
oct1556214630
9531203343
10230234520
11108a6366a
12651316a0
1338911c59
14228129cc
151532c980
hexdb91998

230234520 has 128 divisors (see below), whose sum is σ = 725760000. Its totient is φ = 58352640.

The previous prime is 230234507. The next prime is 230234527. The reversal of 230234520 is 25432032.

230234520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230234527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218956 + ... + 220004.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2230234520 is an apocalyptic number.

230234520 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 230234520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880000).

230234520 is an abundant number, since it is smaller than the sum of its proper divisors (495525480).

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

230234520 is a wasteful number, since it uses less digits than its factorization.

230234520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1149 counting only the distinct ones).

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

The square root of 230234520 is about 15173.4808135774. The cubic root of 230234520 is about 612.9007412201.

Adding to 230234520 its reverse (25432032), we get a palindrome (255666552).

The spelling of 230234520 in words is "two hundred thirty million, two hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 59 60 62 93 118 120 124 155 177 186 236 248 295 310 354 372 465 472 590 620 708 744 885 930 1049 1180 1240 1416 1770 1829 1860 2098 2360 3147 3540 3658 3720 4196 5245 5487 6294 7080 7316 8392 9145 10490 10974 12588 14632 15735 18290 20980 21948 25176 27435 31470 32519 36580 41960 43896 54870 61891 62940 65038 73160 97557 109740 123782 125880 130076 162595 185673 195114 219480 247564 260152 309455 325190 371346 390228 487785 495128 618910 650380 742692 780456 928365 975570 1237820 1300760 1485384 1856730 1918621 1951140 2475640 3713460 3837242 3902280 5755863 7426920 7674484 9593105 11511726 15348968 19186210 23023452 28779315 38372420 46046904 57558630 76744840 115117260 230234520