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66227312 = 24191311663
BaseRepresentation
bin1111110010100…
…0110001110000
311121121200210102
43330220301300
5113423233222
610323251532
71432631354
oct374506160
9147550712
1066227312
1134424618
121a219ba8
131094a578
148b1d464
155c32d92
hex3f28c70

66227312 has 40 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 31112640.

The previous prime is 66227311. The next prime is 66227321. The reversal of 66227312 is 21372266.

66227312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66227311) 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, 38993 + ... + 40655.

It is an arithmetic number, because the mean of its divisors is an integer number (3404544).

Almost surely, 266227312 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 66227312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

66227312 is an abundant number, since it is smaller than the sum of its proper divisors (69954448).

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

66227312 is a wasteful number, since it uses less digits than its factorization.

66227312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 66227312 is about 8138.0164659455. The cubic root of 66227312 is about 404.5874211275.

Adding to 66227312 its reverse (21372266), we get a palindrome (87599578).

The spelling of 66227312 in words is "sixty-six million, two hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 524 1048 1663 2096 2489 3326 4978 6652 9956 13304 19912 26608 31597 39824 63194 126388 217853 252776 435706 505552 871412 1742824 3485648 4139207 8278414 16556828 33113656 66227312