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2212131120 = 243517542189
BaseRepresentation
bin1000001111011010…
…0111000100110000
312201011111220102020
42003312213010300
514012301143440
61003301351440
7105550542603
oct20366470460
95634456366
102212131120
11a35765941
12518a08580
132933bb234
1416db1833a
15ce3163d0
hex83da7130

2212131120 has 80 divisors (see below), whose sum is σ = 7261008480. Its totient is φ = 555200512.

The previous prime is 2212131113. The next prime is 2212131121. The reversal of 2212131120 is 211312122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212131120.

It is not an unprimeable number, because it can be changed into a prime (2212131121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267015 + ... + 275174.

It is an arithmetic number, because the mean of its divisors is an integer number (90762606).

Almost surely, 22212131120 is an apocalyptic number.

2212131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212131120 is an abundant number, since it is smaller than the sum of its proper divisors (5048877360).

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

2212131120 is a wasteful number, since it uses less digits than its factorization.

2212131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542222 (or 542216 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2212131120 is about 47033.2979919546. The cubic root of 2212131120 is about 1302.9776164538.

Adding to 2212131120 its reverse (211312122), we get a palindrome (2423443242).

The spelling of 2212131120 in words is "two billion, two hundred twelve million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 542189 1084378 1626567 2168756 2710945 3253134 4337512 5421890 6506268 8132835 8675024 9217213 10843780 13012536 16265670 18434426 21687560 26025072 27651639 32531340 36868852 43375120 46086065 55303278 65062680 73737704 92172130 110606556 130125360 138258195 147475408 184344260 221213112 276516390 368688520 442426224 553032780 737377040 1106065560 2212131120