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259258230 = 2325711219179
BaseRepresentation
bin11110111001111…
…11011101110110
3200001211200102200
433130333131312
51012332230410
641420445330
76265441620
oct1734773566
9601750380
10259258230
11123387600
12729a9846
134193474a
1426609c10
1517b623c0
hexf73f776

259258230 has 288 divisors, whose sum is σ = 896313600. Its totient is φ = 50751360.

The previous prime is 259258201. The next prime is 259258247. The reversal of 259258230 is 32852952.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1448281 + ... + 1448459.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2259258230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259258230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

259258230 is an abundant number, since it is smaller than the sum of its proper divisors (637055370).

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

259258230 is a wasteful number, since it uses less digits than its factorization.

259258230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 259258230 is about 16101.4977564201. The cubic root of 259258230 is about 637.6428837745.

The spelling of 259258230 in words is "two hundred fifty-nine million, two hundred fifty-eight thousand, two hundred thirty".