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232231243004420 = 2251122326263180239
BaseRepresentation
bin110100110011011010001100…
…101111101011101000000100
31010110021002102121200102101212
4310303122030233223220010
5220414334041202120140
62141525321001510552
766626103456433412
oct6463321457535004
91113232377612355
10232231243004420
1167aa5798468aa0
1222067b794a2458
139c7740a01710a
14414c0a30b22b2
151bcad030c6765
hexd3368cbeba04

232231243004420 has 96 divisors (see below), whose sum is σ = 534429722050560. Its totient is φ = 84065367922560.

The previous prime is 232231243004401. The next prime is 232231243004479. The reversal of 232231243004420 is 24400342132232.

232231243004420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288372661 + ... + 1288552899.

It is an arithmetic number, because the mean of its divisors is an integer number (5566976271360).

Almost surely, 2232231243004420 is an apocalyptic number.

232231243004420 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 232231243004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267214861025280).

232231243004420 is an abundant number, since it is smaller than the sum of its proper divisors (302198479046140).

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

232231243004420 is a wasteful number, since it uses less digits than its factorization.

232231243004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206745 (or 206743 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 232231243004420 its reverse (24400342132232), we get a palindrome (256631585136652).

The spelling of 232231243004420 in words is "two hundred thirty-two trillion, two hundred thirty-one billion, two hundred forty-three million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2453 4460 4906 9812 12265 24530 26263 49060 52526 105052 131315 180239 262630 288893 360478 525260 577786 720956 901195 1155572 1444465 1802390 1982629 2888930 3604780 3965258 5777860 5856649 7930516 9913145 11713298 19826290 23426596 29283245 39652580 40193297 58566490 64423139 80386594 117132980 128846278 160773188 200966485 257692556 322115695 401932970 442126267 644231390 803865940 884252534 1288462780 1768505068 2210631335 4421262670 4733616857 8842525340 9467233714 18934467428 23668084285 47336168570 52069785427 94672337140 104139570854 208279141708 260348927135 520697854270 1041395708540 1055596559111 2111193118222 4222386236444 5277982795555 10555965591110 11611562150221 21111931182220 23223124300442 46446248600884 58057810751105 116115621502210 232231243004420