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235463233140 = 2232517101761869
BaseRepresentation
bin1101101101001010110…
…0111100111001110100
3211111202211121120211200
43123102230330321310
512324212041430030
6300100442132500
723003666313162
oct3332254747164
9744684546750
10235463233140
119094a947143
12397741b1130
13192864c3bb5
14b579d32232
1561d1a08d60
hex36d2b3ce74

235463233140 has 144 divisors (see below), whose sum is σ = 763741152720. Its totient is φ = 58511462400.

The previous prime is 235463233139. The next prime is 235463233141. The reversal of 235463233140 is 41332364532.

235463233140 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 632 + 3 + 3 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (235463233139) and next prime (235463233141).

It can be written as a sum of positive squares in 8 ways, for example, as 12960456336 + 222502776804 = 113844^2 + 471702^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235463233095 and 235463233104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235463233141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71875 + ... + 689994.

It is an arithmetic number, because the mean of its divisors is an integer number (5303758005).

Almost surely, 2235463233140 is an apocalyptic number.

235463233140 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 235463233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381870576360).

235463233140 is an abundant number, since it is smaller than the sum of its proper divisors (528277919580).

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

235463233140 is a wasteful number, since it uses less digits than its factorization.

235463233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762002 (or 761997 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 235463233140 its reverse (41332364532), we get a palindrome (276795597672).

The spelling of 235463233140 in words is "two hundred thirty-five billion, four hundred sixty-three million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 101 102 153 170 180 202 204 255 303 306 340 404 505 510 606 612 765 909 1010 1020 1212 1515 1530 1717 1818 2020 3030 3060 3434 3636 4545 5151 6060 6868 8585 9090 10302 15453 17170 18180 20604 25755 30906 34340 51510 61812 77265 103020 154530 309060 761869 1523738 2285607 3047476 3809345 4571214 6856821 7618690 9142428 11428035 12951773 13713642 15237380 22856070 25903546 27427284 34284105 38855319 45712140 51807092 64758865 68568210 76948769 77710638 116565957 129517730 137136420 153897538 155421276 194276595 230846307 233131914 259035460 307795076 384743845 388553190 461692614 466263828 582829785 692538921 769487690 777106380 923385228 1154231535 1165659570 1308129073 1385077842 1538975380 2308463070 2331319140 2616258146 2770155684 3462694605 3924387219 4616926140 5232516292 6540645365 6925389210 7848774438 11773161657 13081290730 13850778420 15697548876 19621936095 23546323314 26162581460 39243872190 47092646628 58865808285 78487744380 117731616570 235463233140