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66226480 = 2454161331
BaseRepresentation
bin1111110010100…
…0100100110000
311121121122122121
43330220210300
5113423221410
610323244024
71432626055
oct374504460
9147548577
1066226480
1134423a31
121a219614
131094a088
148b1d02c
155c329da
hex3f28930

66226480 has 80 divisors (see below), whose sum is σ = 160802208. Its totient is φ = 25344000.

The previous prime is 66226471. The next prime is 66226483. The reversal of 66226480 is 8462266.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66226483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199915 + ... + 200245.

Almost surely, 266226480 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 66226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80401104).

66226480 is an abundant number, since it is smaller than the sum of its proper divisors (94575728).

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

66226480 is a wasteful number, since it uses less digits than its factorization.

66226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 66226480 is about 8137.9653476775. The cubic root of 66226480 is about 404.5857268711.

The spelling of 66226480 in words is "sixty-six million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 61 80 82 122 164 205 244 305 328 331 410 488 610 656 662 820 976 1220 1324 1640 1655 2440 2501 2648 3280 3310 4880 5002 5296 6620 10004 12505 13240 13571 20008 20191 25010 26480 27142 40016 40382 50020 54284 67855 80764 100040 100955 108568 135710 161528 200080 201910 217136 271420 323056 403820 542840 807640 827831 1085680 1615280 1655662 3311324 4139155 6622648 8278310 13245296 16556620 33113240 66226480