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66302244 = 223217131827
BaseRepresentation
bin1111110011101…
…1000100100100
311121202111120200
43330323010210
5113433132434
610325030500
71433363001
oct374730444
9147674520
1066302244
1134475948
121a255430
13109756c8
148b3c8a8
155c4a199
hex3f3b124

66302244 has 72 divisors (see below), whose sum is σ = 179026848. Its totient is φ = 20616960.

The previous prime is 66302239. The next prime is 66302263. The reversal of 66302244 is 44220366.

66302244 is a `hidden beast` number, since 6 + 630 + 2 + 24 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79759 + ... + 80585.

It is an arithmetic number, because the mean of its divisors is an integer number (2486484).

Almost surely, 266302244 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 66302244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89513424).

66302244 is an abundant number, since it is smaller than the sum of its proper divisors (112724604).

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

66302244 is a wasteful number, since it uses less digits than its factorization.

66302244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 66302244 is about 8142.6189889986. The cubic root of 66302244 is about 404.7399519448.

The spelling of 66302244 in words is "sixty-six million, three hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 786 827 1179 1572 1654 2227 2358 2481 3308 4454 4716 4962 6681 7443 8908 9924 13362 14059 14886 20043 26724 28118 29772 40086 42177 56236 80172 84354 108337 126531 168708 216674 253062 325011 433348 506124 650022 975033 1300044 1841729 1950066 3683458 3900132 5525187 7366916 11050374 16575561 22100748 33151122 66302244