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230455251 = 321311317431
BaseRepresentation
bin11011011110001…
…11011111010011
3121001122100011200
431233013133103
5432444032001
634511242243
75465560125
oct1557073723
9531570150
10230455251
111090a4494
1265219383
133898b570
142286d215
1515373086
hexdbc77d3

230455251 has 24 divisors (see below), whose sum is σ = 361679136. Its totient is φ = 140555520.

The previous prime is 230455249. The next prime is 230455261. The reversal of 230455251 is 152554032.

It is a happy number.

It is not a de Polignac number, because 230455251 - 21 = 230455249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230455201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4506 + ... + 21936.

It is an arithmetic number, because the mean of its divisors is an integer number (15069964).

Almost surely, 2230455251 is an apocalyptic number.

230455251 is a deficient number, since it is larger than the sum of its proper divisors (131223885).

230455251 is a wasteful number, since it uses less digits than its factorization.

230455251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17563 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 230455251 is about 15180.7526493254. The cubic root of 230455251 is about 613.0965458900.

The spelling of 230455251 in words is "two hundred thirty million, four hundred fifty-five thousand, two hundred fifty-one".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 17431 52293 156879 226603 679809 1969703 2039427 5909109 17727327 25606139 76818417 230455251