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230041518 = 23717536079
BaseRepresentation
bin11011011011000…
…10011110101110
3121000212022122020
431231202132232
5432342312033
634454331010
75462214660
oct1555423656
9530768566
10230041518
11108941663
1265059a66
1338875155
14227a2530
15152e06b3
hexdb627ae

230041518 has 64 divisors (see below), whose sum is σ = 567336960. Its totient is φ = 60682752.

The previous prime is 230041507. The next prime is 230041523. The reversal of 230041518 is 815140032.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 34803 + ... + 40881.

It is an arithmetic number, because the mean of its divisors is an integer number (8864640).

Almost surely, 2230041518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230041518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283668480).

230041518 is an abundant number, since it is smaller than the sum of its proper divisors (337295442).

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

230041518 is a wasteful number, since it uses less digits than its factorization.

230041518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 230041518 is about 15167.1196342615. The cubic root of 230041518 is about 612.7294316381.

The spelling of 230041518 in words is "two hundred thirty million, forty-one thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 159 238 318 357 371 714 742 901 1113 1802 2226 2703 5406 6079 6307 12158 12614 18237 18921 36474 37842 42553 85106 103343 127659 206686 255318 310029 322187 620058 644374 723401 966561 1446802 1933122 2170203 2255309 4340406 4510618 5477179 6765927 10954358 13531854 16431537 32863074 38340253 76680506 115020759 230041518