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66605220 = 223351111213
BaseRepresentation
bin1111111000010…
…1000010100100
311122022220012000
43332011002210
5114022331340
610335325300
71436064213
oct376050244
9148286160
1066605220
1134662540
121a380830
1310a50596
148bbb07a
155ca9d30
hex3f850a4

66605220 has 96 divisors (see below), whose sum is σ = 226074240. Its totient is φ = 16145280.

The previous prime is 66605219. The next prime is 66605221. The reversal of 66605220 is 2250666.

It is an interprime number because it is at equal distance from previous prime (66605219) and next prime (66605221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66605221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (2354940).

Almost surely, 266605220 is an apocalyptic number.

66605220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66605220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113037120).

66605220 is an abundant number, since it is smaller than the sum of its proper divisors (159469020).

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

66605220 is a wasteful number, since it uses less digits than its factorization.

66605220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66605220 is about 8161.2021173354. The cubic root of 66605220 is about 405.3555177315.

Adding to 66605220 its reverse (2250666), we get a palindrome (68855886).

The spelling of 66605220 in words is "sixty-six million, six hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 11213 22426 33639 44852 56065 67278 100917 112130 123343 134556 168195 201834 224260 246686 302751 336390 370029 403668 493372 504585 605502 616715 672780 740058 1009170 1110087 1211004 1233430 1480116 1513755 1850145 2018340 2220174 2466860 3027510 3330261 3700290 4440348 5550435 6055020 6660522 7400580 11100870 13321044 16651305 22201740 33302610 66605220