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232203020501140 = 225138910919197711
BaseRepresentation
bin110100110010111111111010…
…100011011000000010010100
31010110011101120202001201010121
4310302333322203120002110
5220413403241222014030
62141504332303401324
766624054212215633
oct6462777243300224
91113141522051117
10232203020501140
1167a94825609617
12220626018b3244
139c7485cc93430
14414a986b6351a
151bca20055d47a
hexd32ffa8d8094

232203020501140 has 96 divisors (see below), whose sum is σ = 531523267591680. Its totient is φ = 84695456947200.

The previous prime is 232203020501113. The next prime is 232203020501141. The reversal of 232203020501140 is 41105020302232.

232203020501140 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 not an unprimeable number, because it can be changed into a prime (232203020501141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20646885 + ... + 29844595.

It is an arithmetic number, because the mean of its divisors is an integer number (5536700704080).

Almost surely, 2232203020501140 is an apocalyptic number.

232203020501140 is a gapful number since it is divisible by the number (20) 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 232203020501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265761633795840).

232203020501140 is an abundant number, since it is smaller than the sum of its proper divisors (299320247090540).

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

232203020501140 is a wasteful number, since it uses less digits than its factorization.

232203020501140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198913 (or 9198911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 232203020501140 its reverse (41105020302232), we get a palindrome (273308040803372).

The spelling of 232203020501140 in words is "two hundred thirty-two trillion, two hundred three billion, twenty million, five hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1091 1157 1780 2182 2314 4364 4628 5455 5785 10910 11570 14183 21820 23140 28366 56732 70915 97099 141830 194198 283660 388396 485495 970990 1262287 1941980 2524574 5049148 6311435 9197711 12622870 18395422 25245740 36790844 45988555 91977110 119570243 183954220 239140486 478280972 597851215 818596279 1195702430 1637192558 2391404860 3274385116 4092981395 8185962790 10034702701 10641751627 16371925580 20069405402 21283503254 40138810804 42567006508 50173513505 53208758135 100347027010 106417516270 130451135113 200694054020 212835032540 260902270226 521804540452 652255675565 893088540389 1304511351130 1786177080778 2609022702260 3572354161556 4465442701945 8930885403890 11610151025057 17861770807780 23220302050114 46440604100228 58050755125285 116101510250570 232203020501140