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232331020020 = 2232511193360703
BaseRepresentation
bin1101100001100000000…
…0100000011011110100
3211012200112210200012100
43120120000200123310
512301303220120040
6254421552022100
722533244041411
oct3303000403364
9735615720170
10232331020020
118a592893060
123903b231930
1318ba75ca758
14b35dd51108
15609ba4ab30
hex36180206f4

232331020020 has 144 divisors (see below), whose sum is σ = 769214863872. Its totient is φ = 56292606720.

The previous prime is 232331020001. The next prime is 232331020087. The reversal of 232331020020 is 20020133232.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 232331019975 and 232331020002.

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, 3796989 + ... + 3857691.

It is an arithmetic number, because the mean of its divisors is an integer number (5341769888).

Almost surely, 2232331020020 is an apocalyptic number.

232331020020 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 232331020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384607431936).

232331020020 is an abundant number, since it is smaller than the sum of its proper divisors (536883843852).

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

232331020020 is a wasteful number, since it uses less digits than its factorization.

232331020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62662 (or 62657 counting only the distinct ones).

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

Adding to 232331020020 its reverse (20020133232), we get a palindrome (252351153252).

The spelling of 232331020020 in words is "two hundred thirty-two billion, three hundred thirty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1933 1980 3866 5799 7732 9665 11598 17397 19330 21263 23196 28995 34794 38660 42526 57990 60703 63789 69588 85052 86985 106315 115980 121406 127578 173970 182109 191367 212630 242812 255156 303515 318945 347940 364218 382734 425260 546327 607030 637890 667733 728436 765468 910545 956835 1092654 1214060 1275780 1335466 1821090 1913670 2003199 2185308 2670932 2731635 3338665 3642180 3827340 4006398 5463270 6009597 6677330 8012796 10015995 10926540 12019194 13354660 20031990 24038388 30047985 40063980 60095970 117338899 120191940 234677798 352016697 469355596 586694495 704033394 1056050091 1173388990 1290727889 1408066788 1760083485 2112100182 2346777980 2581455778 3520166970 3872183667 4224200364 5162911556 5280250455 6453639445 7040333940 7744367334 10560500910 11616551001 12907278890 15488734668 19360918335 21121001820 23233102002 25814557780 38721836670 46466204004 58082755005 77443673340 116165510010 232331020020