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230465225 = 5210219029
BaseRepresentation
bin11011011110010…
…01111011001001
3121001122211212002
431233021323021
5432444341400
634511400345
75465631164
oct1557117311
9531584762
10230465225
11109100a31
12652230b5
1338992c73
1422872adb
1515375ed5
hexdbc9ec9

230465225 has 12 divisors (see below), whose sum is σ = 286088460. Its totient is φ = 184171200.

The previous prime is 230465189. The next prime is 230465239. The reversal of 230465225 is 522564032.

It can be written as a sum of positive squares in 6 ways, for example, as 16516096 + 213949129 = 4064^2 + 14627^2 .

It is a de Polignac number, because none of the positive numbers 2k-230465225 is a prime.

It is a super-2 number, since 2×2304652252 = 106228439868601250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21011 + ... + 30039.

It is an arithmetic number, because the mean of its divisors is an integer number (23840705).

Almost surely, 2230465225 is an apocalyptic number.

230465225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230465225 is a deficient number, since it is larger than the sum of its proper divisors (55623235).

230465225 is a wasteful number, since it uses less digits than its factorization.

230465225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 230465225 is about 15181.0811538573. The cubic root of 230465225 is about 613.1053906103.

The spelling of 230465225 in words is "two hundred thirty million, four hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 1021 5105 9029 25525 45145 225725 9218609 46093045 230465225