Search a number
-
+
230000442 = 23779103673
BaseRepresentation
bin11011011010110…
…00011100111010
3121000210020021220
431231120130322
5432340003232
634453412510
75461654140
oct1555303472
9530706256
10230000442
11108913811
126503a136
133885c549
1422791590
15152d342c
hexdb5873a

230000442 has 64 divisors (see below), whose sum is σ = 538337280. Its totient is φ = 64157184.

The previous prime is 230000417. The next prime is 230000461. The reversal of 230000442 is 244000032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341418 + ... + 342090.

It is an arithmetic number, because the mean of its divisors is an integer number (8411520).

Almost surely, 2230000442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230000442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269168640).

230000442 is an abundant number, since it is smaller than the sum of its proper divisors (308336838).

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

230000442 is a wasteful number, since it uses less digits than its factorization.

230000442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230000442 is about 15165.7654604046. The cubic root of 230000442 is about 612.6929600010.

Adding to 230000442 its reverse (244000032), we get a palindrome (474000474).

The spelling of 230000442 in words is "two hundred thirty million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 79 103 158 206 237 309 474 553 618 673 721 1106 1346 1442 1659 2019 2163 3318 4038 4326 4711 8137 9422 14133 16274 24411 28266 48822 53167 56959 69319 106334 113918 138638 159501 170877 207957 319002 341754 372169 415914 485233 744338 970466 1116507 1455699 2233014 2911398 5476201 10952402 16428603 32857206 38333407 76666814 115000221 230000442