Search a number
-
+
66220168 = 23721719523
BaseRepresentation
bin1111110010011…
…1000010001000
311121121022222211
43330213002020
5113423021133
610323154504
71432601500
oct374470210
9147538884
1066220168
113441a213
121a215a34
1310947241
148b1aa00
155c30bcd
hex3f27088

66220168 has 96 divisors (see below), whose sum is σ = 161287200. Its totient is φ = 25256448.

The previous prime is 66220157. The next prime is 66220169. The reversal of 66220168 is 86102266.

It is a super-2 number, since 2×662201682 = 8770221299896448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66220169) 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, 126355 + ... + 126877.

It is an arithmetic number, because the mean of its divisors is an integer number (1680075).

Almost surely, 266220168 is an apocalyptic number.

66220168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66220168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80643600).

66220168 is an abundant number, since it is smaller than the sum of its proper divisors (95067032).

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

66220168 is a wasteful number, since it uses less digits than its factorization.

66220168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 66220168 is about 8137.5775265124. The cubic root of 66220168 is about 404.5728728675.

The spelling of 66220168 in words is "sixty-six million, two hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 238 266 323 392 476 523 532 646 833 931 952 1046 1064 1292 1666 1862 2092 2261 2584 3332 3661 3724 4184 4522 6664 7322 7448 8891 9044 9937 14644 15827 17782 18088 19874 25627 29288 31654 35564 39748 51254 62237 63308 69559 71128 79496 102508 124474 126616 139118 168929 205016 248948 278236 337858 435659 486913 497896 556472 675716 871318 973826 1182503 1351432 1742636 1947652 2365006 3485272 3895304 4730012 8277521 9460024 16555042 33110084 66220168