Search a number
-
+
66119922 = 23311157709
BaseRepresentation
bin1111110000111…
…0100011110010
311121102020111000
43330032203302
5113411314142
610321102430
71432003311
oct374164362
9147366430
1066119922
1134360970
121a187a16
131091071b
148ad2278
155c1114c
hex3f0e8f2

66119922 has 64 divisors (see below), whose sum is σ = 161539200. Its totient is φ = 19880640.

The previous prime is 66119897. The next prime is 66119927. The reversal of 66119922 is 22991166.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66119927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92904 + ... + 93612.

It is an arithmetic number, because the mean of its divisors is an integer number (2524050).

Almost surely, 266119922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66119922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80769600).

66119922 is an abundant number, since it is smaller than the sum of its proper divisors (95419278).

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

66119922 is a wasteful number, since it uses less digits than its factorization.

66119922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 66119922 is about 8131.4157438911. The cubic root of 66119922 is about 404.3686184033.

The spelling of 66119922 in words is "sixty-six million, one hundred nineteen thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 709 942 1413 1418 1727 2127 2826 3454 4239 4254 5181 6381 7799 8478 10362 12762 15543 15598 19143 23397 31086 38286 46629 46794 70191 93258 111313 140382 210573 222626 333939 421146 667878 1001817 1224443 2003634 2448886 3005451 3673329 6010902 7346658 11019987 22039974 33059961 66119922