Search a number
-
+
66712122 = 23229227563
BaseRepresentation
bin1111111001111…
…1001000111010
311122112022211100
43332133020322
5114034241442
610341512230
71440020661
oct376371072
9148468740
1066712122
1134725894
121a412676
1310a8a139
148c07dd8
155ccb84c
hex3f9f23a

66712122 has 48 divisors (see below), whose sum is σ = 150452640. Its totient is φ = 21338016.

The previous prime is 66712099. The next prime is 66712123. The reversal of 66712122 is 22121766.

It is not an unprimeable number, because it can be changed into a prime (66712123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118213 + ... + 118775.

It is an arithmetic number, because the mean of its divisors is an integer number (3134430).

Almost surely, 266712122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66712122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75226320).

66712122 is an abundant number, since it is smaller than the sum of its proper divisors (83740518).

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

66712122 is a wasteful number, since it uses less digits than its factorization.

66712122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 824 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 66712122 is about 8167.7488942793. The cubic root of 66712122 is about 405.5722682742.

Adding to 66712122 its reverse (22121766), we get a palindrome (88833888).

The spelling of 66712122 in words is "sixty-six million, seven hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 227 261 454 522 563 681 1126 1362 1689 2043 3378 4086 5067 6583 10134 13166 16327 19749 32654 39498 48981 59247 97962 118494 127801 146943 255602 293886 383403 766806 1150209 2300418 3706229 7412458 11118687 22237374 33356061 66712122