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2216492880 = 243571969439
BaseRepresentation
bin1000010000011100…
…1111111101010000
312201110201111121220
42010013033331100
514014410233010
61003535045040
7105632610240
oct20407177520
95643644556
102216492880
11a381749a8
1251a370780
13294287664
14170531b20
15ce8c8970
hex841cff50

2216492880 has 160 divisors (see below), whose sum is σ = 8266137600. Its totient is φ = 479955456.

The previous prime is 2216492879. The next prime is 2216492893. The reversal of 2216492880 is 882946122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2800 + ... + 66639.

It is an arithmetic number, because the mean of its divisors is an integer number (51663360).

Almost surely, 22216492880 is an apocalyptic number.

2216492880 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 2216492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133068800).

2216492880 is an abundant number, since it is smaller than the sum of its proper divisors (6049644720).

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

2216492880 is a wasteful number, since it uses less digits than its factorization.

2216492880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69481 (or 69475 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2216492880 is about 47079.6440088495. The cubic root of 2216492880 is about 1303.8334343811.

The spelling of 2216492880 in words is "two billion, two hundred sixteen million, four hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 69439 138878 208317 277756 347195 416634 486073 555512 694390 833268 972146 1041585 1111024 1319341 1388780 1458219 1666536 1944292 2083170 2430365 2638682 2777560 2916438 3333072 3888584 3958023 4166340 4860730 5277364 5555120 5832876 6596705 7291095 7777168 7916046 8332680 9235387 9721460 10554728 11665752 13193410 14582190 15832092 16665360 18470774 19442920 19790115 21109456 23331504 26386820 27706161 29164380 31664184 36941548 38885840 39580230 46176935 52773640 55412322 58328760 63328368 73883096 79160460 92353870 105547280 110824644 116657520 138530805 147766192 158320920 184707740 221649288 277061610 316641840 369415480 443298576 554123220 738830960 1108246440 2216492880