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230344330420 = 22519359674697
BaseRepresentation
bin1101011010000110010…
…1111000110010110100
3211000120002111101102001
43112201211320302310
512233221122033140
6253452502225044
722433101334431
oct3264145706264
9730502441361
10230344330420
1189763407826
1238785a25184
131894bb33989
14b21215cb88
155ed2416e9a
hex35a1978cb4

230344330420 has 24 divisors (see below), whose sum is σ = 486229439304. Its totient is φ = 91660333056.

The previous prime is 230344330417. The next prime is 230344330423. The reversal of 230344330420 is 24033443032.

230344330420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230344330417) and next prime (230344330423).

It can be written as a sum of positive squares in 4 ways, for example, as 55844306596 + 174500023824 = 236314^2 + 417732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230344330423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29833489 + ... + 29841208.

It is an arithmetic number, because the mean of its divisors is an integer number (20259559971).

Almost surely, 2230344330420 is an apocalyptic number.

230344330420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230344330420 is an abundant number, since it is smaller than the sum of its proper divisors (255885108884).

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

230344330420 is a wasteful number, since it uses less digits than its factorization.

230344330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59674899 (or 59674897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 230344330420 its reverse (24033443032), we get a palindrome (254377773452).

The spelling of 230344330420 in words is "two hundred thirty billion, three hundred forty-four million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 59674697 119349394 238698788 298373485 596746970 1193493940 11517216521 23034433042 46068866084 57586082605 115172165210 230344330420