Search a number
-
+
66611226 = 2311319439
BaseRepresentation
bin1111111000011…
…0100000011010
311122100012102110
43332012200122
5114023024401
610335413150
71436120553
oct376064032
9148305373
1066611226
1134667000
121a3841b6
1310a53236
148bbd32a
155cab9d6
hex3f8681a

66611226 has 64 divisors (see below), whose sum is σ = 154598400. Its totient is φ = 19079280.

The previous prime is 66611221. The next prime is 66611227. The reversal of 66611226 is 62211666.

66611226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66611193 and 66611202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66611221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151515 + ... + 151953.

It is an arithmetic number, because the mean of its divisors is an integer number (2415600).

Almost surely, 266611226 is an apocalyptic number.

66611226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66611226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77299200).

66611226 is an abundant number, since it is smaller than the sum of its proper divisors (87987174).

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

66611226 is a wasteful number, since it uses less digits than its factorization.

66611226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 66611226 is about 8161.5700695393. The cubic root of 66611226 is about 405.3677014216.

It can be divided in two parts, 6661 and 1226, that added together give a palindrome (7887).

The spelling of 66611226 in words is "sixty-six million, six hundred eleven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 439 627 726 878 1254 1317 1331 2299 2634 2662 3993 4598 4829 6897 7986 8341 9658 13794 14487 16682 25023 25289 28974 50046 50578 53119 75867 91751 106238 151734 159357 183502 275253 318714 550506 584309 1009261 1168618 1752927 2018522 3027783 3505854 6055566 11101871 22203742 33305613 66611226