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230243342032 = 241173137130807
BaseRepresentation
bin1101011001101110010…
…0101001011011010000
3211000022001110122101101
43112123210221123100
512233014243421112
6253434453514144
722430434054564
oct3263344513320
9730261418341
10230243342032
1189711400750
1238758042954
1318933c35332
14b2029916a4
155ec8619757
hex359b9296d0

230243342032 has 80 divisors (see below), whose sum is σ = 496921802112. Its totient is φ = 102468188160.

The previous prime is 230243342009. The next prime is 230243342057.

230243342032 is nontrivially palindromic in base 10.

230243342032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1694773 + ... + 1825579.

Almost surely, 2230243342032 is an apocalyptic number.

230243342032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230243342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248460901056).

230243342032 is an abundant number, since it is smaller than the sum of its proper divisors (266678460080).

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

230243342032 is a wasteful number, since it uses less digits than its factorization.

230243342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131036 (or 131030 counting only the distinct ones).

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

It can be divided in two parts, 230243 and 342032, that added together give a palindrome (572275).

The spelling of 230243342032 in words is "two hundred thirty billion, two hundred forty-three million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 73 88 137 146 176 274 292 548 584 803 1096 1168 1507 1606 2192 3014 3212 6028 6424 10001 12056 12848 20002 24112 40004 80008 110011 130807 160016 220022 261614 440044 523228 880088 1046456 1438877 1760176 2092912 2877754 5755508 9548911 11511016 17920559 19097822 23022032 35841118 38195644 71682236 76391288 105038021 143364472 152782576 197126149 210076042 286728944 394252298 420152084 788504596 840304168 1308200807 1577009192 1680608336 2616401614 3154018384 5232803228 10465606456 14390208877 20931212912 28780417754 57560835508 115121671016 230243342032