Search a number
-
+
171228420 = 2232511175087
BaseRepresentation
bin10100011010010…
…11110100000100
3102221012022020100
422031023310010
5322313302140
624554004100
74146263136
oct1215136404
9387168210
10171228420
11887214a0
1249416630
13296224bc
1418a53056
1510074530
hexa34bd04

171228420 has 144 divisors (see below), whose sum is σ = 600058368. Its totient is φ = 39060480.

The previous prime is 171228373. The next prime is 171228433. The reversal of 171228420 is 24822171.

171228420 is a `hidden beast` number, since 17 + 1 + 228 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31117 + ... + 36203.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 2171228420 is an apocalyptic number.

171228420 is a gapful number since it is divisible by the number (10) 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 171228420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300029184).

171228420 is an abundant number, since it is smaller than the sum of its proper divisors (428829948).

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

171228420 is a wasteful number, since it uses less digits than its factorization.

171228420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 171228420 is about 13085.4277729083. The cubic root of 171228420 is about 555.2969436048.

The spelling of 171228420 in words is "one hundred seventy-one million, two hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5087 5610 6732 8415 10174 11220 15261 16830 20348 25435 30522 33660 45783 50870 55957 61044 76305 86479 91566 101740 111914 152610 167871 172958 183132 223828 228915 259437 279785 305220 335742 345916 432395 457830 503613 518874 559570 671484 778311 839355 864790 915660 951269 1007226 1037748 1119140 1297185 1556622 1678710 1729580 1902538 2014452 2518065 2594370 2853807 3113244 3357420 3805076 3891555 4756345 5036130 5188740 5707614 7783110 8561421 9512690 10072260 11415228 14269035 15566220 17122842 19025380 28538070 34245684 42807105 57076140 85614210 171228420