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66225840 = 2435275941
BaseRepresentation
bin1111110010100…
…0011010110000
311121121121202220
43330220122300
5113423211330
610323241040
71432624152
oct374503260
9147547686
1066225840
11344234aa
121a219180
13109499b5
148b1cad2
155c32710
hex3f286b0

66225840 has 40 divisors (see below), whose sum is σ = 205300848. Its totient is φ = 17660160.

The previous prime is 66225839. The next prime is 66225847. The reversal of 66225840 is 4852266.

66225840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (66225847) 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 7 ways as a sum of consecutive naturals, for example, 137731 + ... + 138210.

Almost surely, 266225840 is an apocalyptic number.

66225840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66225840 is an abundant number, since it is smaller than the sum of its proper divisors (139075008).

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

66225840 is a wasteful number, since it uses less digits than its factorization.

66225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275957 (or 275951 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 66225840 is about 8137.9260257144. The cubic root of 66225840 is about 404.5844235873.

The spelling of 66225840 in words is "sixty-six million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 275941 551882 827823 1103764 1379705 1655646 2207528 2759410 3311292 4139115 4415056 5518820 6622584 8278230 11037640 13245168 16556460 22075280 33112920 66225840