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230013240320 = 210544924461
BaseRepresentation
bin1101011000110111011…
…0111000010000000000
3210222201000111021011202
43112031312320100000
512232031342142240
6253355554000332
722421641166243
oct3261566702000
9728630437152
10230013240320
1189603528946
12386b2b760a8
13188c836b986
14b1c01b525a
155eb3316315
hex358ddb8400

230013240320 has 44 divisors (see below), whose sum is σ = 551762242284. Its totient is φ = 92005294080.

The previous prime is 230013240311. The next prime is 230013240349. The reversal of 230013240320 is 23042310032.

230013240320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164329701376 + 65683538944 = 405376^2 + 256288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230013240292 and 230013240301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22457111 + ... + 22467350.

It is an arithmetic number, because the mean of its divisors is an integer number (12540050961).

Almost surely, 2230013240320 is an apocalyptic number.

230013240320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230013240320 is an abundant number, since it is smaller than the sum of its proper divisors (321749001964).

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

230013240320 is an equidigital number, since it uses as much as digits as its factorization.

230013240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44924486 (or 44924468 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230013240320 its reverse (23042310032), we get a palindrome (253055550352).

The spelling of 230013240320 in words is "two hundred thirty billion, thirteen million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 44924461 89848922 179697844 224622305 359395688 449244610 718791376 898489220 1437582752 1796978440 2875165504 3593956880 5750331008 7187913760 11500662016 14375827520 23001324032 28751655040 46002648064 57503310080 115006620160 230013240320