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230224130440 = 2357018210561
BaseRepresentation
bin1101011001101001101…
…1010111000110001000
3211000020201022121000221
43112122123113012020
512232444334133230
6253432530035424
722430111551243
oct3263233270610
9730221277027
10230224130440
11897015797a7
1238751718b74
131892cc69a25
14b2001d025a
155ec6ac227a
hex359a6d7188

230224130440 has 32 divisors (see below), whose sum is σ = 518743307160. Its totient is φ = 91958272000.

The previous prime is 230224130431. The next prime is 230224130441. The reversal of 230224130440 is 44031422032.

It is a happy number.

230224130440 is digitally balanced in base 2, 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 4 ways, for example, as 229726572804 + 497557636 = 479298^2 + 22306^2 .

It is not an unprimeable number, because it can be changed into a prime (230224130441) 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, 4077241 + ... + 4133320.

Almost surely, 2230224130440 is an apocalyptic number.

230224130440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230224130440 is an abundant number, since it is smaller than the sum of its proper divisors (288519176720).

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

230224130440 is a wasteful number, since it uses less digits than its factorization.

230224130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211273 (or 8211269 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 230224130440 its reverse (44031422032), we get a palindrome (274255552472).

The spelling of 230224130440 in words is "two hundred thirty billion, two hundred twenty-four million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 701 1402 2804 3505 5608 7010 14020 28040 8210561 16421122 32842244 41052805 65684488 82105610 164211220 328422440 5755603261 11511206522 23022413044 28778016305 46044826088 57556032610 115112065220 230224130440