Search a number
-
+
226867768608 = 25313253439601
BaseRepresentation
bin1101001101001001011…
…1110110110100100000
3210200120210201202011110
43103102113312310200
512204111122043413
6252115511343320
722250665133625
oct3232227666440
9720523652143
10226867768608
1188239a39448
1237b75681b40
13185167b2700
14ada254234c
155d7c0d98c3
hex34d25f6d20

226867768608 has 288 divisors, whose sum is σ = 659621128320. Its totient is φ = 68218675200.

The previous prime is 226867768607. The next prime is 226867768613. The reversal of 226867768608 is 806867768622.

226867768608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226867768601) 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 47 ways as a sum of consecutive naturals, for example, 377483508 + ... + 377484108.

It is an arithmetic number, because the mean of its divisors is an integer number (2290351140).

Almost surely, 2226867768608 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 226867768608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329810564160).

226867768608 is an abundant number, since it is smaller than the sum of its proper divisors (432753359712).

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

226867768608 is a wasteful number, since it uses less digits than its factorization.

226867768608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 226867768608 in words is "two hundred twenty-six billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, six hundred eight".