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230032022310 = 23451777321611
BaseRepresentation
bin1101011000111011111…
…0100001101100100110
3210222202022211111020000
43112032332201230212
512232101144203220
6253401504322130
722422256633236
oct3261676415446
9728668744200
10230032022310
1189613097052
12386b9313346
13188cc21688c
14b1c28a3cc6
155eb4cc6390
hex358efa1b26

230032022310 has 160 divisors (see below), whose sum is σ = 655792280352. Its totient is φ = 57656171520.

The previous prime is 230032022291. The next prime is 230032022321. The reversal of 230032022310 is 13220230032.

It is a happy number.

230032022310 is a `hidden beast` number, since 2 + 30 + 0 + 320 + 2 + 2 + 310 = 666.

It is a super-2 number, since 2×2300320223102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10633405 + ... + 10655015.

Almost surely, 2230032022310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230032022310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327896140176).

230032022310 is an abundant number, since it is smaller than the sum of its proper divisors (425760258042).

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

230032022310 is a wasteful number, since it uses less digits than its factorization.

230032022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22420 (or 22411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230032022310 its reverse (13220230032), we get a palindrome (243252252342).

The spelling of 230032022310 in words is "two hundred thirty billion, thirty-two million, twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 773 810 918 1377 1530 1546 2295 2319 2754 3865 4590 4638 6885 6957 7730 11595 13141 13770 13914 20871 21611 23190 26282 34785 39423 41742 43222 62613 64833 65705 69570 78846 104355 108055 118269 125226 129666 131410 194499 197115 208710 216110 236538 313065 324165 354807 367387 388998 394230 583497 591345 626130 648330 709614 734774 972495 1064421 1102161 1166994 1182690 1750491 1774035 1836935 1944990 2128842 2204322 2917485 3306483 3500982 3548070 3673870 5322105 5510805 5834970 6612966 8752455 9919449 10644210 11021610 16532415 16705303 17504910 19838898 29758347 33064830 33410606 49597245 50115909 59516694 83526515 99194490 100231818 148791735 150347727 167053030 250579545 283990151 297583470 300695454 451043181 501159090 567980302 751738635 851970453 902086362 1353129543 1419950755 1503477270 1703940906 2255215905 2555911359 2706259086 2839901510 4259852265 4510431810 5111822718 6765647715 7667734077 8519704530 12779556795 13531295430 15335468154 23003202231 25559113590 38338670385 46006404462 76677340770 115016011155 230032022310