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66214332 = 223223211379
BaseRepresentation
bin1111110010010…
…1100110111100
311121121000222200
43330211212330
5113422324312
610323111500
71432545462
oct374454674
9147530880
1066214332
1134415898
121a212590
13109446a2
148b18832
155c2e0dc
hex3f259bc

66214332 has 72 divisors (see below), whose sum is σ = 175943040. Its totient is φ = 20956320.

The previous prime is 66214327. The next prime is 66214333. The reversal of 66214332 is 23341266.

66214332 is a `hidden beast` number, since 6 + 621 + 4 + 3 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66214296 and 66214305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66214333) 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, 174519 + ... + 174897.

Almost surely, 266214332 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 66214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87971520).

66214332 is an abundant number, since it is smaller than the sum of its proper divisors (109728708).

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

66214332 is a wasteful number, since it uses less digits than its factorization.

66214332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 618 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 66214332 is about 8137.2189352383. The cubic root of 66214332 is about 404.5609874821.

Adding to 66214332 its reverse (23341266), we get a palindrome (89555598).

The spelling of 66214332 in words is "sixty-six million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 211 276 379 414 422 633 758 828 844 1137 1266 1516 1899 2274 2532 3411 3798 4548 4853 6822 7596 8717 9706 13644 14559 17434 19412 26151 29118 34868 43677 52302 58236 78453 79969 87354 104604 156906 159938 174708 239907 313812 319876 479814 719721 959628 1439442 1839287 2878884 3678574 5517861 7357148 11035722 16553583 22071444 33107166 66214332