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230655540 = 223567181317
BaseRepresentation
bin11011011111110…
…00011000110100
3121002000111220210
431233320120310
5433021434130
634515425420
75500353063
oct1557703064
9532014823
10230655540
11109220a15
12652b5270
1338a2b78b
14228c21da
15153b25b0
hexdbf8634

230655540 has 96 divisors (see below), whose sum is σ = 661175424. Its totient is φ = 60065280.

The previous prime is 230655539. The next prime is 230655553. The reversal of 230655540 is 45556032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230655498 and 230655507.

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, 727462 + ... + 727778.

It is an arithmetic number, because the mean of its divisors is an integer number (6887244).

Almost surely, 2230655540 is an apocalyptic number.

230655540 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 230655540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330587712).

230655540 is an abundant number, since it is smaller than the sum of its proper divisors (430519884).

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

230655540 is a wasteful number, since it uses less digits than its factorization.

230655540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 230655540 is about 15187.3480239310. The cubic root of 230655540 is about 613.2741088319.

The spelling of 230655540 in words is "two hundred thirty million, six hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 181 201 268 317 335 362 402 543 634 670 724 804 905 951 1005 1086 1268 1340 1585 1810 1902 2010 2172 2715 3170 3620 3804 4020 4755 5430 6340 9510 10860 12127 19020 21239 24254 36381 42478 48508 57377 60635 63717 72762 84956 106195 114754 121270 127434 145524 172131 181905 212390 229508 242540 254868 286885 318585 344262 363810 424780 573770 637170 688524 727620 860655 1147540 1274340 1721310 3442620 3844259 7688518 11532777 15377036 19221295 23065554 38442590 46131108 57663885 76885180 115327770 230655540