Search a number
-
+
230095728 = 243619727
BaseRepresentation
bin11011011011011…
…11101101110000
3121000222002000000
431231233231300
5432401030403
634455430000
75462532012
oct1555575560
9530862000
10230095728
11108979365
1265085300
1338893a25
14227b81b2
15153017a3
hexdb6fb70

230095728 has 70 divisors (see below), whose sum is σ = 668443824. Its totient is φ = 76694688.

The previous prime is 230095687. The next prime is 230095739. The reversal of 230095728 is 827590032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230095692 and 230095701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1801 + ... + 21527.

Almost surely, 2230095728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334221912).

230095728 is an abundant number, since it is smaller than the sum of its proper divisors (438348096).

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

230095728 is an equidigital number, since it uses as much as digits as its factorization.

230095728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19753 (or 19732 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 230095728 is about 15168.9066184745. The cubic root of 230095728 is about 612.7775583907. Note that the first 3 decimals are identical.

The spelling of 230095728 in words is "two hundred thirty million, ninety-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 19727 39454 59181 78908 118362 157816 177543 236724 315632 355086 473448 532629 710172 946896 1065258 1420344 1597887 2130516 2840688 3195774 4261032 4793661 6391548 8522064 9587322 12783096 14380983 19174644 25566192 28761966 38349288 57523932 76698576 115047864 230095728