Search a number
-
+
223519666050 = 23452172192232
BaseRepresentation
bin1101000000101011001…
…1110110111110000010
3210100221110200111220000
43100022303312332002
512130232013303200
6250403350100430
722102011545652
oct3201263667602
9710843614800
10223519666050
118688102a43a
12373a034a716
1318101c5a835
14ab65a04362
155c331d4300
hex340acf6f82

223519666050 has 810 divisors, whose sum is σ = 727874997003. Its totient is φ = 50835755520.

The previous prime is 223519666021. The next prime is 223519666057. The reversal of 223519666050 is 50666915322.

223519666050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 145543013001 + 77976653049 = 381501^2 + 279243^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334305.

It is a super-2 number, since 2×2235196660502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 223519665987 and 223519666005.

It is not an unprimeable number, because it can be changed into a prime (223519666057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 9718246339 + ... + 9718246361.

Almost surely, 2223519666050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223519666050

223519666050 is an abundant number, since it is smaller than the sum of its proper divisors (504355330953).

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

223519666050 is a wasteful number, since it uses less digits than its factorization.

223519666050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 223519666050 in words is "two hundred twenty-three billion, five hundred nineteen million, six hundred sixty-six thousand, fifty".