Search a number
-
+
230363300 = 22526013833
BaseRepresentation
bin11011011101100…
…01000010100100
3121001110200001002
431232301002210
5432433111200
634505252432
75465025056
oct1556610244
9531420032
10230363300
111090413a2
1265194118
133895875b
14228478d6
1515355bd5
hexdbb10a4

230363300 has 36 divisors (see below), whose sum is σ = 500850756. Its totient is φ = 91968000.

The previous prime is 230363299. The next prime is 230363323. The reversal of 230363300 is 3363032.

It can be written as a sum of positive squares in 6 ways, for example, as 2534464 + 227828836 = 1592^2 + 15094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58184 + ... + 62016.

It is an arithmetic number, because the mean of its divisors is an integer number (13912521).

Almost surely, 2230363300 is an apocalyptic number.

230363300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230363300 is an abundant number, since it is smaller than the sum of its proper divisors (270487456).

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

230363300 is a wasteful number, since it uses less digits than its factorization.

230363300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 230363300 is about 15177.7238082658. The cubic root of 230363300 is about 613.0149937742.

The spelling of 230363300 in words is "two hundred thirty million, three hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 601 1202 2404 3005 3833 6010 7666 12020 15025 15332 19165 30050 38330 60100 76660 95825 191650 383300 2303633 4607266 9214532 11518165 23036330 46072660 57590825 115181650 230363300