Search a number
-
+
230425000 = 235513709
BaseRepresentation
bin11011011110000…
…00000110101000
3121001120210200021
431233000012220
5432442100000
634510450224
75465403001
oct1557000650
9531523607
10230425000
11109083793
1265203974
133897a870
14228621a8
151536911a
hexdbc01a8

230425000 has 96 divisors (see below), whose sum is σ = 582384600. Its totient is φ = 84960000.

The previous prime is 230424991. The next prime is 230425007. The reversal of 230425000 is 524032.

It can be written as a sum of positive squares in 12 ways, for example, as 191711716 + 38713284 = 13846^2 + 6222^2 .

It is not an unprimeable number, because it can be changed into a prime (230425007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324646 + ... + 325354.

Almost surely, 2230425000 is an apocalyptic number.

230425000 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 230425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291192300).

230425000 is an abundant number, since it is smaller than the sum of its proper divisors (351959600).

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

230425000 is an equidigital number, since it uses as much as digits as its factorization.

230425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 230425000 is about 15179.7562562776. The cubic root of 230425000 is about 613.0697184182.

Adding to 230425000 its reverse (524032), we get a palindrome (230949032).

The spelling of 230425000 in words is "two hundred thirty million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 709 1000 1250 1300 1418 1625 2500 2600 2836 3125 3250 3545 5000 5672 6250 6500 7090 8125 9217 12500 13000 14180 16250 17725 18434 25000 28360 32500 35450 36868 40625 46085 65000 70900 73736 81250 88625 92170 141800 162500 177250 184340 230425 325000 354500 368680 443125 460850 709000 886250 921700 1152125 1772500 1843400 2215625 2304250 3545000 4431250 4608500 5760625 8862500 9217000 11521250 17725000 23042500 28803125 46085000 57606250 115212500 230425000