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2272106160 = 243352574093
BaseRepresentation
bin1000011101101101…
…1001011010110000
312212100100221201000
42013123121122300
514123124344120
61013243042000
7110206404132
oct20733313260
95770327630
102272106160
11a665a9a95
12534b10300
132a2959a1c
14177a8b052
15d4711990
hex876d96b0

2272106160 has 160 divisors (see below), whose sum is σ = 7858514880. Its totient is φ = 603389952.

The previous prime is 2272106087. The next prime is 2272106189. The reversal of 2272106160 is 616012722.

2272106160 is a `hidden beast` number, since 2 + 27 + 21 + 0 + 616 + 0 = 666.

2272106160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553074 + ... + 557166.

It is an arithmetic number, because the mean of its divisors is an integer number (49115718).

Almost surely, 22272106160 is an apocalyptic number.

2272106160 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 2272106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929257440).

2272106160 is an abundant number, since it is smaller than the sum of its proper divisors (5586408720).

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

2272106160 is a wasteful number, since it uses less digits than its factorization.

2272106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2272106160 is about 47666.6147319064. The cubic root of 2272106160 is about 1314.6481654502.

Adding to 2272106160 its reverse (616012722), we get a palindrome (2888118882).

The spelling of 2272106160 in words is "two billion, two hundred seventy-two million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 257 270 360 432 514 540 720 771 1028 1080 1285 1542 2056 2160 2313 2570 3084 3855 4093 4112 4626 5140 6168 6939 7710 8186 9252 10280 11565 12279 12336 13878 15420 16372 18504 20465 20560 23130 24558 27756 30840 32744 34695 36837 37008 40930 46260 49116 55512 61395 61680 65488 69390 73674 81860 92520 98232 110511 111024 122790 138780 147348 163720 184185 185040 196464 221022 245580 277560 294696 327440 368370 442044 491160 552555 555120 589392 736740 884088 982320 1051901 1105110 1473480 1768176 2103802 2210220 2946960 3155703 4207604 4420440 5259505 6311406 8415208 8840880 9467109 10519010 12622812 15778515 16830416 18934218 21038020 25245624 28401327 31557030 37868436 42076040 47335545 50491248 56802654 63114060 75736872 84152080 94671090 113605308 126228120 142006635 151473744 189342180 227210616 252456240 284013270 378684360 454421232 568026540 757368720 1136053080 2272106160