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230456525 = 5213709097
BaseRepresentation
bin11011011110001…
…11110011001101
3121001122101220212
431233013303031
5432444102100
634511252205
75465563625
oct1557076315
9531571825
10230456525
111090a5442
126521a065
133898c010
142286d885
1515373635
hexdbc7ccd

230456525 has 12 divisors (see below), whose sum is σ = 307748532. Its totient is φ = 170183040.

The previous prime is 230456507. The next prime is 230456543. The reversal of 230456525 is 525654032.

It is an interprime number because it is at equal distance from previous prime (230456507) and next prime (230456543).

It can be written as a sum of positive squares in 6 ways, for example, as 964324 + 229492201 = 982^2 + 15149^2 .

It is not a de Polignac number, because 230456525 - 222 = 226262221 is a prime.

It is a super-2 number, since 2×2304565252 = 106220419830151250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230456491 and 230456500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354224 + ... + 354873.

It is an arithmetic number, because the mean of its divisors is an integer number (25645711).

Almost surely, 2230456525 is an apocalyptic number.

230456525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230456525 is a deficient number, since it is larger than the sum of its proper divisors (77292007).

230456525 is a wasteful number, since it uses less digits than its factorization.

230456525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709120 (or 709115 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 230456525 is about 15180.7946102963. The cubic root of 230456525 is about 613.0976756589.

The spelling of 230456525 in words is "two hundred thirty million, four hundred fifty-six thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 325 709097 3545485 9218261 17727425 46091305 230456525