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230322221102320 = 24519206373450207
BaseRepresentation
bin110100010111101000010010…
…001011000011010011110000
31010012111120220121011210122021
4310113220102023003103300
5220142044402100233240
62133504322341121224
766341142231132304
oct6427502213032360
91105446817153567
10230322221102320
116742a118362776
12219b9ba59b9214
139b693a5114089
1440c39253a9d04
151b9632227c54a
hexd17a122c34f0

230322221102320 has 80 divisors (see below), whose sum is σ = 563956573040640. Its totient is φ = 87237691068672.

The previous prime is 230322221102251. The next prime is 230322221102357. The reversal of 230322221102320 is 23201122223032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33589344 + ... + 39860863.

It is an arithmetic number, because the mean of its divisors is an integer number (7049457163008).

Almost surely, 2230322221102320 is an apocalyptic number.

230322221102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230322221102320 is an abundant number, since it is smaller than the sum of its proper divisors (333634351938320).

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

230322221102320 is a wasteful number, since it uses less digits than its factorization.

230322221102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73452302 (or 73452296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 230322221102320 its reverse (23201122223032), we get a palindrome (253523343325352).

The spelling of 230322221102320 in words is "two hundred thirty trillion, three hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2063 4126 8252 10315 16504 20630 33008 39197 41260 78394 82520 156788 165040 195985 313576 391970 627152 783940 1567880 3135760 73450207 146900414 293800828 367251035 587601656 734502070 1175203312 1395553933 1469004140 2791107866 2938008280 5582215732 5876016560 6977769665 11164431464 13955539330 22328862928 27911078660 55822157320 111644314640 151527777041 303055554082 606111108164 757638885205 1212222216328 1515277770410 2424444432656 2879027763779 3030555540820 5758055527558 6061111081640 11516111055116 12122222163280 14395138818895 23032222110232 28790277637790 46064444220464 57580555275580 115161110551160 230322221102320