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2215125120 = 27351388747
BaseRepresentation
bin1000010000001000…
…0010000010000000
312201101011000102010
42010002002002000
514014033000440
61003445452520
7105615152505
oct20402020200
95641130363
102215125120
11a3742031a
12519a11140
13293bc8c30
141702974ac
15ce708580
hex84082080

2215125120 has 128 divisors (see below), whose sum is σ = 7603928640. Its totient is φ = 545255424.

The previous prime is 2215125113. The next prime is 2215125131. The reversal of 2215125120 is 215215122.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19414 + ... + 69333.

Almost surely, 22215125120 is an apocalyptic number.

2215125120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2215125120 is an abundant number, since it is smaller than the sum of its proper divisors (5388803520).

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

2215125120 is a wasteful number, since it uses less digits than its factorization.

2215125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88782 (or 88770 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2215125120 is about 47065.1157440413. The cubic root of 2215125120 is about 1303.5651880626.

The spelling of 2215125120 in words is "two billion, two hundred fifteen million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 88747 177494 266241 354988 443735 532482 709976 887470 1064964 1153711 1331205 1419952 1774940 2129928 2307422 2662410 2839904 3461133 3549880 4259856 4614844 5324820 5679808 5768555 6922266 7099760 8519712 9229688 10649640 11359616 11537110 13844532 14199520 17039424 17305665 18459376 21299280 23074220 27689064 28399040 34078848 34611330 36918752 42598560 46148440 55378128 56798080 69222660 73837504 85197120 92296880 110756256 138445320 147675008 170394240 184593760 221512512 276890640 369187520 443025024 553781280 738375040 1107562560 2215125120