Search a number
-
+
2016212220 = 22325115319213
BaseRepresentation
bin111100000101100…
…1111010011111100
312012111212012012200
41320023033103330
513112122242340
6532022231500
7100651343511
oct17013172374
95174765180
102016212220
119451100a0
12483285590
132619326a9
14151ab9308
15bc016330
hex782cf4fc

2016212220 has 144 divisors (see below), whose sum is σ = 6798066912. Its totient is φ = 479531520.

The previous prime is 2016212207. The next prime is 2016212279. The reversal of 2016212220 is 222126102.

2016212220 is a `hidden beast` number, since 2 + 0 + 1 + 621 + 22 + 20 = 666.

It is a super-2 number, since 2×20162122202 = 8130223432154656800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2016212193 and 2016212202.

It is a congruent number.

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, 95334 + ... + 114546.

It is an arithmetic number, because the mean of its divisors is an integer number (47208798).

Almost surely, 22016212220 is an apocalyptic number.

2016212220 is a gapful number since it is divisible by the number (20) 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 2016212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399033456).

2016212220 is an abundant number, since it is smaller than the sum of its proper divisors (4781854692).

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

2016212220 is a wasteful number, since it uses less digits than its factorization.

2016212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19292 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2016212220 is about 44902.2518366284. The cubic root of 2016212220 is about 1263.3162452853.

Adding to 2016212220 its reverse (222126102), we get a palindrome (2238338322).

It can be divided in two parts, 201621 and 2220, that added together give a triangular number (203841 = T638).

The spelling of 2016212220 in words is "two billion, sixteen million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 19213 20988 26235 34980 38426 52470 57639 76852 96065 104940 115278 172917 192130 211343 230556 288195 345834 384260 422686 576390 634029 691668 845372 864585 1018289 1056715 1152780 1268058 1729170 1902087 2036578 2113430 2536116 3054867 3170145 3458340 3804174 4073156 4226860 5091445 6109734 6340290 7608348 9164601 9510435 10182890 11201179 12219468 12680580 15274335 18329202 19020870 20365780 22402358 30548670 33603537 36658404 38041740 44804716 45823005 56005895 61097340 67207074 91646010 100810611 112011790 134414148 168017685 183292020 201621222 224023580 336035370 403242444 504053055 672070740 1008106110 2016212220