Search a number
-
+
223133311032 = 233471129175211
BaseRepresentation
bin1100111111001111001…
…0000010000000111000
3210022221112200122102220
43033303302002000320
512123434111423112
6250301145124040
722056310564332
oct3176362020070
9708845618386
10223133311032
11866a2a34175
12372b2a89620
131806cbb5bb8
14ab2a592452
155c0e31898c
hex33f3c82038

223133311032 has 64 divisors (see below), whose sum is σ = 570209932800. Its totient is φ = 72730371840.

The previous prime is 223133310947. The next prime is 223133311057. The reversal of 223133311032 is 230113331322.

It is a super-3 number, since 3×2231333110323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223133310993 and 223133311011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185907 + ... + 1361117.

It is an arithmetic number, because the mean of its divisors is an integer number (8909530200).

Almost surely, 2223133311032 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 223133311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285104966400).

223133311032 is an abundant number, since it is smaller than the sum of its proper divisors (347076621768).

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

223133311032 is a wasteful number, since it uses less digits than its factorization.

223133311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176396 (or 176392 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 223133311032 its reverse (230113331322), we get a palindrome (453246642354).

The spelling of 223133311032 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1129 2258 3387 4516 6774 9032 13548 27096 53063 106126 159189 175211 212252 318378 350422 424504 525633 636756 700844 1051266 1273512 1401688 2102532 4205064 8234917 16469834 24704751 32939668 49409502 65879336 98819004 197638008 197813219 395626438 593439657 791252876 1186879314 1582505752 2373758628 4747517256 9297221293 18594442586 27891663879 37188885172 55783327758 74377770344 111566655516 223133311032