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230223102012 = 22335034237963
BaseRepresentation
bin1101011001101001011…
…1011100000000111100
3211000020122101100022000
43112122113130000330
512232444103231022
6253432452022300
722430100036021
oct3263227340074
9730218340260
10230223102012
1189700a37062
1238751301990
131892c9998a7
14b200003548
155ec696c6ac
hex359a5dc03c

230223102012 has 48 divisors (see below), whose sum is σ = 598061479680. Its totient is φ = 76588449264.

The previous prime is 230223102007. The next prime is 230223102017. The reversal of 230223102012 is 210201322032.

230223102012 is a `hidden beast` number, since 230 + 2 + 231 + 0 + 201 + 2 = 666.

230223102012 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 (230223102007) and next prime (230223102017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230223102017) 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 15 ways as a sum of consecutive naturals, for example, 2064658 + ... + 2173305.

It is an arithmetic number, because the mean of its divisors is an integer number (12459614160).

Almost surely, 2230223102012 is an apocalyptic number.

It is an amenable number.

230223102012 is an abundant number, since it is smaller than the sum of its proper divisors (367838377668).

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

230223102012 is a wasteful number, since it uses less digits than its factorization.

230223102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238479 (or 4238471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230223102012 its reverse (210201322032), we get a palindrome (440424424044).

The spelling of 230223102012 in words is "two hundred thirty billion, two hundred twenty-three million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 503 1006 1509 2012 3018 4527 6036 9054 13581 18108 27162 54324 4237963 8475926 12713889 16951852 25427778 38141667 50855556 76283334 114425001 152566668 228850002 457700004 2131695389 4263390778 6395086167 8526781556 12790172334 19185258501 25580344668 38370517002 57555775503 76741034004 115111551006 230223102012