Search a number
-
+
230595373060 = 225133723471867
BaseRepresentation
bin1101011011000010001…
…1100010100000000100
3211001012120212200011121
43112300203202200010
512234224403414220
6253533431043324
722442240221243
oct3266043424004
9731176780147
10230595373060
1189882092888
1238835b10544
131898bb4cb10
14b23762a95a
155ee94a4eaa
hex35b08e2804

230595373060 has 144 divisors (see below), whose sum is σ = 537808348224. Its totient is φ = 82558766592.

The previous prime is 230595373033. The next prime is 230595373061. The reversal of 230595373060 is 60373595032.

It is a junction number, because it is equal to n+sod(n) for n = 230595372998 and 230595373016.

It is not an unprimeable number, because it can be changed into a prime (230595373061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123510247 + ... + 123512113.

It is an arithmetic number, because the mean of its divisors is an integer number (3734780196).

Almost surely, 2230595373060 is an apocalyptic number.

230595373060 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 230595373060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268904174112).

230595373060 is an abundant number, since it is smaller than the sum of its proper divisors (307212975164).

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

230595373060 is a wasteful number, since it uses less digits than its factorization.

230595373060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 43.

The spelling of 230595373060 in words is "two hundred thirty billion, five hundred ninety-five million, three hundred seventy-three thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 347 370 481 694 740 962 1369 1388 1735 1867 1924 2405 2738 3470 3734 4511 4810 5476 6845 6940 7468 9022 9335 9620 12839 13690 17797 18044 18670 22555 24271 25678 27380 35594 37340 45110 48542 51356 64195 69079 71188 88985 90220 97084 121355 128390 138158 166907 177970 242710 256780 276316 333814 345395 355940 475043 485420 647849 667628 690790 834535 898027 950086 1295698 1381580 1669070 1796054 1900172 2375215 2555923 2591396 3239245 3338140 3592108 4490135 4750430 5111846 6175559 6478490 8422037 8980270 9500860 10223692 12351118 12779615 12956980 16844074 17960540 23970413 24702236 25559230 30877795 33226999 33688148 42110185 47940826 51118460 61755590 66453998 84220370 95881652 119852065 123511180 132907996 166134995 168440740 239704130 311615369 332269990 479408260 623230738 664539980 886905281 1246461476 1558076845 1773810562 3116153690 3547621124 4434526405 6232307380 8869052810 11529768653 17738105620 23059537306 46119074612 57648843265 115297686530 230595373060