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258230 = 25721731
BaseRepresentation
bin111111000010110110
3111010020002
4333002312
531230410
65311302
72123600
oct770266
9433202
10258230
11167015
12105532
13906cb
146a170
15517a5
hex3f0b6

258230 has 48 divisors (see below), whose sum is σ = 590976. Its totient is φ = 80640.

The previous prime is 258211. The next prime is 258233. The reversal of 258230 is 32852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8315 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2258230 is an apocalyptic number.

258230 is an abundant number, since it is smaller than the sum of its proper divisors (332746).

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

258230 is a wasteful number, since it uses less digits than its factorization.

258230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 258230 is about 508.1633595607. The cubic root of 258230 is about 63.6798793273.

It can be divided in two parts, 258 and 230, that multiplied together give a triangular number (59340 = T344).

The spelling of 258230 in words is "two hundred fifty-eight thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 17 31 34 35 49 62 70 85 98 119 155 170 217 238 245 310 434 490 527 595 833 1054 1085 1190 1519 1666 2170 2635 3038 3689 4165 5270 7378 7595 8330 15190 18445 25823 36890 51646 129115 258230