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230224433104 = 2417249789021
BaseRepresentation
bin1101011001101001110…
…0100000111111010000
3211000020201212222012201
43112122130200333100
512232444423324404
6253432540332544
722430114251531
oct3263234407720
9730221788181
10230224433104
1189701766136
1238751844154
1318930044713
14b20026c688
155ec6b31ca4
hex359a720fd0

230224433104 has 30 divisors (see below), whose sum is σ = 473842122374. Its totient is φ = 108340907520.

The previous prime is 230224433093. The next prime is 230224433129. The reversal of 230224433104 is 401334422032.

230224433104 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 3 ways, for example, as 117341872704 + 112882560400 = 342552^2 + 335980^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 24889887 + ... + 24899134.

Almost surely, 2230224433104 is an apocalyptic number.

It is an amenable number.

230224433104 is an abundant number, since it is smaller than the sum of its proper divisors (243617689270).

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

230224433104 is a wasteful number, since it uses less digits than its factorization.

230224433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49789063 (or 49789040 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 230224433104 its reverse (401334422032), we get a palindrome (631558855136).

The spelling of 230224433104 in words is "two hundred thirty billion, two hundred twenty-four million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 49789021 99578042 199156084 398312168 796624336 846413357 1692826714 3385653428 6771306856 13542613712 14389027069 28778054138 57556108276 115112216552 230224433104