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230241024 = 2832137687
BaseRepresentation
bin11011011100100…
…11001100000000
3121001020110022100
431232103030000
5432420203044
634502510400
75464005426
oct1556231400
9531213270
10230241024
11108a68542
1265135400
1338914bc0
1422815116
151532e869
hexdb93300

230241024 has 108 divisors (see below), whose sum is σ = 714999376. Its totient is φ = 70834176.

The previous prime is 230241007. The next prime is 230241041. The reversal of 230241024 is 420142032.

230241024 is a `hidden beast` number, since 230 + 2 + 410 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (230241007) and next prime (230241041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 230240988 and 230241006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26109 + ... + 33795.

Almost surely, 2230241024 is an apocalyptic number.

230241024 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 230241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357499688).

230241024 is an abundant number, since it is smaller than the sum of its proper divisors (484758352).

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

230241024 is a wasteful number, since it uses less digits than its factorization.

230241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230241024 is about 15173.6951333550. The cubic root of 230241024 is about 612.9065125366.

Adding to 230241024 its reverse (420142032), we get a palindrome (650383056).

The spelling of 230241024 in words is "two hundred thirty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 7687 9984 14976 15374 23061 29952 30748 46122 61496 69183 92244 99931 122992 138366 184488 199862 245984 276732 299793 368976 399724 491968 553464 599586 737952 799448 899379 983936 1106928 1199172 1475904 1598896 1798758 1967872 2213856 2398344 2951808 3197792 3597516 4427712 4796688 5903616 6395584 7195032 8855424 9593376 12791168 14390064 17710848 19186752 25582336 28780128 38373504 57560256 76747008 115120512 230241024