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66231630 = 23255912473
BaseRepresentation
bin1111110010100…
…1110101001110
311121121220201100
43330221311032
5113423403010
610323323530
71432650063
oct374516516
9147556640
1066231630
1134427893
121a2205a6
131094c51a
148b20c6a
155c342c0
hex3f29d4e

66231630 has 48 divisors (see below), whose sum is σ = 175134960. Its totient is φ = 17361024.

The previous prime is 66231629. The next prime is 66231631. The reversal of 66231630 is 3613266.

66231630 is a `hidden beast` number, since 6 + 6 + 23 + 1 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (66231629) and next prime (66231631).

It is a junction number, because it is equal to n+sod(n) for n = 66231594 and 66231603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66231631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 266231630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66231630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87567480).

66231630 is an abundant number, since it is smaller than the sum of its proper divisors (108903330).

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

66231630 is a wasteful number, since it uses less digits than its factorization.

66231630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12545 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66231630 is about 8138.2817596837. The cubic root of 66231630 is about 404.5962139275.

Adding to 66231630 its reverse (3613266), we get a palindrome (69844896).

The spelling of 66231630 in words is "sixty-six million, two hundred thirty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 12473 24946 37419 62365 74838 112257 124730 187095 224514 374190 561285 735907 1122570 1471814 2207721 3679535 4415442 6623163 7359070 11038605 13246326 22077210 33115815 66231630