Search a number
-
+
235132086204 = 223261714313499
BaseRepresentation
bin1101101011111011110…
…1101110011110111100
3211110220202111120122100
43122332331232132330
512323022303224304
6300003532345100
722662535520211
oct3327675563674
9743822446570
10235132086204
119079aa29594
12396a1315190
1319232a0c072
14b547d71b08
1561b28e6439
hex36bef6e7bc

235132086204 has 144 divisors (see below), whose sum is σ = 614210688000. Its totient is φ = 75808656000.

The previous prime is 235132086199. The next prime is 235132086229. The reversal of 235132086204 is 402680231532.

235132086204 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 3 + 20 + 8 + 620 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67198047 + ... + 67201545.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352000).

Almost surely, 2235132086204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235132086204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344000).

235132086204 is an abundant number, since it is smaller than the sum of its proper divisors (379078601796).

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

235132086204 is a wasteful number, since it uses less digits than its factorization.

235132086204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 235132086204 in words is "two hundred thirty-five billion, one hundred thirty-two million, eighty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 71 122 142 183 213 244 284 366 426 431 549 639 732 852 862 1098 1278 1293 1724 2196 2556 2586 3499 3879 4331 5172 6998 7758 8662 10497 12993 13996 15516 17324 20994 25986 26291 30601 31491 38979 41988 51972 52582 61202 62982 77958 78873 91803 105164 122404 125964 155916 157746 183606 213439 236619 248429 275409 315492 367212 426878 473238 496858 550818 640317 745287 853756 946476 993716 1101636 1280634 1490574 1508069 1866661 1920951 2235861 2561268 2981148 3016138 3733322 3841902 4471722 4524207 5599983 6032276 7466644 7683804 8943444 9048414 11199966 13572621 15154169 16799949 18096828 22399932 27145242 30308338 33599898 45462507 54290484 60616676 67199796 90925014 91992209 107072899 136387521 181850028 183984418 214145798 272775042 275976627 321218697 367968836 428291596 545550084 551953254 642437394 827929881 963656091 1103906508 1284874788 1655859762 1927312182 3311719524 3854624364 6531446839 13062893678 19594340517 26125787356 39188681034 58783021551 78377362068 117566043102 235132086204