Search a number
-
+
223012045368 = 23347219369661
BaseRepresentation
bin1100111110110010001…
…1011100001000111000
3210022122002111201020000
43033230203130020320
512123212040422433
6250241134033000
722053306052200
oct3175443341070
9708562451200
10223012045368
1186640538512
123727a348760
1318050a37b78
14ab18427400
155c03863113
hex33ec8dc238

223012045368 has 240 divisors, whose sum is σ = 764867644200. Its totient is φ = 60363999360.

The previous prime is 223012045363. The next prime is 223012045369. The reversal of 223012045368 is 863540210322.

223012045368 is a `hidden beast` number, since 2 + 23 + 0 + 120 + 453 + 68 = 666.

223012045368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223012045363) 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 59 ways as a sum of consecutive naturals, for example, 418458 + ... + 788118.

Almost surely, 2223012045368 is an apocalyptic number.

223012045368 is a gapful number since it is divisible by the number (28) 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 223012045368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382433822100).

223012045368 is an abundant number, since it is smaller than the sum of its proper divisors (541855598832).

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

223012045368 is a wasteful number, since it uses less digits than its factorization.

223012045368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369712 (or 369692 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 223012045368 in words is "two hundred twenty-three billion, twelve million, forty-five thousand, three hundred sixty-eight".