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230504610 = 23574612381
BaseRepresentation
bin11011011110100…
…11100010100010
3121001201211212210
431233103202202
5433002121420
634512302550
75466154050
oct1557234242
9531654783
10230504610
11109128586
1265241a56
13389a7b7b
14228831d0
15153829e0
hexdbd38a2

230504610 has 64 divisors (see below), whose sum is σ = 633878784. Its totient is φ = 52550400.

The previous prime is 230504531. The next prime is 230504611. The reversal of 230504610 is 16405032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230504611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95620 + ... + 98000.

It is an arithmetic number, because the mean of its divisors is an integer number (9904356).

Almost surely, 2230504610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230504610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316939392).

230504610 is an abundant number, since it is smaller than the sum of its proper divisors (403374174).

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

230504610 is a wasteful number, since it uses less digits than its factorization.

230504610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230504610 is about 15182.3782721944. The cubic root of 230504610 is about 613.1403138551.

Adding to 230504610 its reverse (16405032), we get a palindrome (246909642).

The spelling of 230504610 in words is "two hundred thirty million, five hundred four thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 461 922 1383 2305 2381 2766 3227 4610 4762 6454 6915 7143 9681 11905 13830 14286 16135 16667 19362 23810 32270 33334 35715 48405 50001 71430 83335 96810 100002 166670 250005 500010 1097641 2195282 3292923 5488205 6585846 7683487 10976410 15366974 16464615 23050461 32929230 38417435 46100922 76834870 115252305 230504610