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66021228 = 223272132879
BaseRepresentation
bin1111101111011…
…0011101101100
311121020020002200
43323312131230
5113400134403
610315021500
71431112500
oct373663554
9147206080
1066021228
11342a37a9
121a13a890
13108a7820
148aa8300
155be1ca3
hex3ef676c

66021228 has 108 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 17406144.

The previous prime is 66021187. The next prime is 66021239. The reversal of 66021228 is 82212066.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21493 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 266021228 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 66021228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

66021228 is an abundant number, since it is smaller than the sum of its proper divisors (143118612).

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

66021228 is a wasteful number, since it uses less digits than its factorization.

66021228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66021228 is about 8125.3447926842. The cubic root of 66021228 is about 404.1673244094.

The spelling of 66021228 in words is "sixty-six million, twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 2879 3276 3822 5733 5758 7644 8637 11466 11516 17274 20153 22932 25911 34548 37427 40306 51822 60459 74854 80612 103644 112281 120918 141071 149708 181377 224562 241836 261989 282142 336843 362754 423213 449124 523978 564284 673686 725508 785967 846426 1047956 1269639 1347372 1571934 1692852 1833923 2357901 2539278 3143868 3667846 4715802 5078556 5501769 7335692 9431604 11003538 16505307 22007076 33010614 66021228