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66227360 = 255834987
BaseRepresentation
bin1111110010100…
…0110010100000
311121121200212012
43330220302200
5113423233420
610323252052
71432631453
oct374506240
9147550765
1066227360
1134424661
121a21a028
131094a5b4
148b1d49a
155c32dc5
hex3f28ca0

66227360 has 48 divisors (see below), whose sum is σ = 158378976. Its totient is φ = 26166528.

The previous prime is 66227351. The next prime is 66227363. The reversal of 66227360 is 6372266.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (66227363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10787 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (3299562).

Almost surely, 266227360 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 66227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79189488).

66227360 is an abundant number, since it is smaller than the sum of its proper divisors (92151616).

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

66227360 is a wasteful number, since it uses less digits than its factorization.

66227360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 66227360 is about 8138.0194150665. The cubic root of 66227360 is about 404.5875188726.

The spelling of 66227360 in words is "sixty-six million, two hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 4987 6640 9974 13280 19948 24935 39896 49870 79792 99740 159584 199480 398960 413921 797920 827842 1655684 2069605 3311368 4139210 6622736 8278420 13245472 16556840 33113680 66227360