Search a number
-
+
135226222362 = 2337111910331657
BaseRepresentation
bin111110111110000011…
…1000110011100011010
3110221001010222211221000
41331330013012130122
54203420403103422
6142042211125430
712525013632150
oct1757407063432
9427033884830
10135226222362
115239274a370
122225aba3876
13c9a086c0ba
14678b6173d0
1537b6aa3cac
hex1f7c1c671a

135226222362 has 256 divisors, whose sum is σ = 394991308800. Its totient is φ = 33222804480.

The previous prime is 135226222303. The next prime is 135226222393. The reversal of 135226222362 is 263222622531.

135226222362 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 2 + 622 + 23 + 6 + 2 = 666.

135226222362 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1352262223623 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81608238 + ... + 81609894.

It is an arithmetic number, because the mean of its divisors is an integer number (1542934800).

Almost surely, 2135226222362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135226222362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197495654400).

135226222362 is an abundant number, since it is smaller than the sum of its proper divisors (259765086438).

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

135226222362 is a wasteful number, since it uses less digits than its factorization.

135226222362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2732 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 135226222362 its reverse (263222622531), we get a palindrome (398448844893).

The spelling of 135226222362 in words is "one hundred thirty-five billion, two hundred twenty-six million, two hundred twenty-two thousand, three hundred sixty-two".