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232231020030 = 2365101315407
BaseRepresentation
bin1101100001001000001…
…1000010010111111110
3211012102120122011000000
43120102003002113332
512301102120120110
6254404020415130
722530621046302
oct3302203022776
9735376564000
10232231020030
118a5413a1639
12390118474a6
1318b8c986c69
14b35095dd02
156092d961c0
hex36120c25fe

232231020030 has 112 divisors (see below), whose sum is σ = 632944373184. Its totient is φ = 61314926400.

The previous prime is 232231020017. The next prime is 232231020041. The reversal of 232231020030 is 30020132232.

It is a happy number.

232231020030 is a `hidden beast` number, since 2 + 322 + 310 + 2 + 0 + 0 + 30 = 666.

It is a super-2 number, since 2×2322310200302 (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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232231019985 and 232231020012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 578587 + ... + 893993.

Almost surely, 2232231020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232231020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316472186592).

232231020030 is an abundant number, since it is smaller than the sum of its proper divisors (400713353154).

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

232231020030 is a wasteful number, since it uses less digits than its factorization.

232231020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315533 (or 315518 counting only the distinct ones).

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

Adding to 232231020030 its reverse (30020132232), we get a palindrome (262251152262).

The spelling of 232231020030 in words is "two hundred thirty-two billion, two hundred thirty-one million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 243 270 303 405 486 505 606 729 810 909 1010 1215 1458 1515 1818 2430 2727 3030 3645 4545 5454 7290 8181 9090 13635 16362 24543 27270 40905 49086 73629 81810 122715 147258 245430 315407 368145 630814 736290 946221 1577035 1892442 2838663 3154070 4731105 5677326 8515989 9462210 14193315 17031978 25547967 28386630 31856107 42579945 51095934 63712214 76643901 85159890 95568321 127739835 153287802 159280535 191136642 229931703 255479670 286704963 318561070 383219505 459863406 477841605 573409926 766439010 860114889 955683210 1149658515 1433524815 1720229778 2299317030 2580344667 2867049630 4300574445 5160689334 7741034001 8601148890 12901723335 15482068002 23223102003 25803446670 38705170005 46446204006 77410340010 116115510015 232231020030