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168228648 = 23327333787
BaseRepresentation
bin10100000011011…
…11011100101000
3102201112220022200
422001233130220
5321031304043
624405420200
74111630350
oct1201573450
9381486280
10168228648
1186a62745
124840a660
1328b11ca3
14184b1b60
15eb807d3
hexa06f728

168228648 has 48 divisors (see below), whose sum is σ = 520709280. Its totient is φ = 48065184.

The previous prime is 168228629. The next prime is 168228649. The reversal of 168228648 is 846822861.

It is a super-3 number, since 3×1682286483 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (168228649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166390 + ... + 167397.

It is an arithmetic number, because the mean of its divisors is an integer number (10848110).

Almost surely, 2168228648 is an apocalyptic number.

168228648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168228648 is an abundant number, since it is smaller than the sum of its proper divisors (352480632).

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

168228648 is a wasteful number, since it uses less digits than its factorization.

168228648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333806 (or 333799 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 168228648 is about 12970.2986858437. The cubic root of 168228648 is about 552.0350481842.

The spelling of 168228648 in words is "one hundred sixty-eight million, two hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 333787 667574 1001361 1335148 2002722 2336509 2670296 3004083 4005444 4673018 6008166 7009527 8010888 9346036 12016332 14019054 18692072 21028581 24032664 28038108 42057162 56076216 84114324 168228648