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230411424 = 25323241433
BaseRepresentation
bin11011011101111…
…00110010100000
3121001120010001110
431232330302200
5432441131144
634510303320
75465315265
oct1556746240
9531503043
10230411424
11109074571
12651b7b40
1338974629
142285b26c
15153650b9
hexdbbcca0

230411424 has 96 divisors (see below), whose sum is σ = 635209344. Its totient is φ = 72990720.

The previous prime is 230411393. The next prime is 230411443. The reversal of 230411424 is 424114032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 230411424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531912 + ... + 532344.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764).

Almost surely, 2230411424 is an apocalyptic number.

230411424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317604672).

230411424 is an abundant number, since it is smaller than the sum of its proper divisors (404797920).

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

230411424 is a wasteful number, since it uses less digits than its factorization.

230411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 230411424 is about 15179.3090751852. The cubic root of 230411424 is about 613.0576780610.

Adding to 230411424 its reverse (424114032), we get a palindrome (654525456).

The spelling of 230411424 in words is "two hundred thirty million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 241 276 368 433 482 552 723 736 866 964 1104 1299 1446 1732 1928 2208 2598 2892 3464 3856 5196 5543 5784 6928 7712 9959 10392 11086 11568 13856 16629 19918 20784 22172 23136 29877 33258 39836 41568 44344 59754 66516 79672 88688 104353 119508 133032 159344 177376 208706 239016 266064 313059 318688 417412 478032 532128 626118 834824 956064 1252236 1669648 2400119 2504472 3339296 4800238 5008944 7200357 9600476 10017888 14400714 19200952 28801428 38401904 57602856 76803808 115205712 230411424