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67232268 = 22352632
BaseRepresentation
bin1000000000111…
…10001000001100
311200111202100000
410000132020030
5114202413033
610401004300
71444315305
oct400361014
9150452300
1067232268
1134a50664
121a623690
1310c0cb0c
148d017ac
155d80a13
hex401e20c

67232268 has 54 divisors (see below), whose sum is σ = 176915284. Its totient is φ = 22325544.

The previous prime is 67232261. The next prime is 67232281. The reversal of 67232268 is 86223276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67232261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 255505 + ... + 255767.

Almost surely, 267232268 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 67232268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88457642).

67232268 is an abundant number, since it is smaller than the sum of its proper divisors (109683016).

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

67232268 is an equidigital number, since it uses as much as digits as its factorization.

67232268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 268 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 67232268 is about 8199.5285230311. The cubic root of 67232268 is about 406.6236058798.

The spelling of 67232268 in words is "sixty-seven million, two hundred thirty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 263 324 486 526 789 972 1052 1578 2367 3156 4734 7101 9468 14202 21303 28404 42606 63909 69169 85212 127818 138338 207507 255636 276676 415014 622521 830028 1245042 1867563 2490084 3735126 5602689 7470252 11205378 16808067 22410756 33616134 67232268