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66822132 = 223131792393
BaseRepresentation
bin1111111011100…
…1111111110100
311122201220201210
43332321333310
5114101302012
610344121420
71440656466
oct376717764
9148656653
1066822132
11347a0503
121a466270
1310ac8230
148c36136
155cee23c
hex3fb9ff4

66822132 has 48 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 20437248.

The previous prime is 66822131. The next prime is 66822149. The reversal of 66822132 is 23122866.

It is a self number, because there is not a number n which added to its sum of digits gives 66822132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66822131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26728 + ... + 29120.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 266822132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66822132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

66822132 is an abundant number, since it is smaller than the sum of its proper divisors (102098508).

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

66822132 is a wasteful number, since it uses less digits than its factorization.

66822132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2590 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66822132 is about 8174.4805339544. The cubic root of 66822132 is about 405.7950788694.

Adding to 66822132 its reverse (23122866), we get a palindrome (89944998).

The spelling of 66822132 in words is "sixty-six million, eight hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 179 358 537 716 1074 2148 2327 2393 4654 4786 6981 7179 9308 9572 13962 14358 27924 28716 31109 62218 93327 124436 186654 373308 428347 856694 1285041 1713388 2570082 5140164 5568511 11137022 16705533 22274044 33411066 66822132