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233245424542332 = 2232337106572143223
BaseRepresentation
bin110101000010001010101110…
…101011001110001001111100
31010120212001012200011121122210
4311002022232223032021330
5221032443112140323312
62144023245131540420
7100062266025323136
oct6502125653161174
91116761180147583
10233245424542332
1168356913505254
12221b06388ba710
13a01bc453b36b7
1441851d2b6a056
151be73ae87ee3c
hexd422aeace27c

233245424542332 has 96 divisors (see below), whose sum is σ = 583305604826112. Its totient is φ = 72351334066176.

The previous prime is 233245424542279. The next prime is 233245424542439.

233245424542332 is nontrivially palindromic in base 10.

233245424542332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 107757673 + ... + 109900895.

It is an arithmetic number, because the mean of its divisors is an integer number (6076100050272).

Almost surely, 2233245424542332 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 233245424542332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291652802413056).

233245424542332 is an abundant number, since it is smaller than the sum of its proper divisors (350060180283780).

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

233245424542332 is a wasteful number, since it uses less digits than its factorization.

233245424542332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153947 (or 2153945 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 48.

The spelling of 233245424542332 in words is "two hundred thirty-three trillion, two hundred forty-five billion, four hundred twenty-four million, five hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 10657 21314 31971 42628 63942 127884 245111 394309 490222 735333 788618 980444 1182927 1470666 1577236 2143223 2365854 2941332 4286446 4731708 6429669 8572892 9069107 12859338 18138214 25718676 27207321 36276428 49294129 54414642 79299251 98588258 108829284 147882387 158598502 197176516 237897753 295764774 317197004 475795506 591529548 951591012 1823882773 3647765546 5471648319 7295531092 10943296638 21886593276 22840327511 45680655022 68520982533 91361310044 137041965066 274083930132 525327532753 845092117907 1050655065506 1575982598259 1690184235814 2101310131012 2535276353721 3151965196518 3380368471628 5070552707442 6303930393036 10141105414884 19437118711861 38874237423722 58311356135583 77748474847444 116622712271166 233245424542332