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2240051121 = 32721117231181
BaseRepresentation
bin1000010110000100…
…0111011110110001
312210010001101110100
42011201013132301
514041423113441
61010140023013
7106340056200
oct20541073661
95703041410
102240051121
11a4a4a5620
12526231a69
13299115549
14173705237
15d19cdcb6
hex858477b1

2240051121 has 144 divisors (see below), whose sum is σ = 4540468608. Its totient is φ = 1046707200.

The previous prime is 2240051119. The next prime is 2240051123. The reversal of 2240051121 is 1211500422.

It is an interprime number because it is at equal distance from previous prime (2240051119) and next prime (2240051123).

It is not a de Polignac number, because 2240051121 - 21 = 2240051119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2240051094 and 2240051103.

It is not an unprimeable number, because it can be changed into a prime (2240051123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1896151 + ... + 1897331.

It is an arithmetic number, because the mean of its divisors is an integer number (31531032).

Almost surely, 22240051121 is an apocalyptic number.

2240051121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2240051121 is an abundant number, since it is smaller than the sum of its proper divisors (2300417487).

2240051121 is a wasteful number, since it uses less digits than its factorization.

2240051121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2240051121 is about 47329.1783258488. The cubic root of 2240051121 is about 1308.4364775819.

Adding to 2240051121 its reverse (1211500422), we get a palindrome (3451551543).

The spelling of 2240051121 in words is "two billion, two hundred forty million, fifty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 17 21 23 33 49 51 63 69 77 99 119 147 153 161 187 207 231 253 357 391 441 483 539 561 693 759 833 1071 1127 1173 1181 1309 1449 1617 1683 1771 2277 2499 2737 3381 3519 3543 3927 4301 4851 5313 7497 8211 8267 9163 10143 10629 11781 12397 12903 12991 15939 19159 20077 24633 24801 27163 27489 30107 37191 38709 38973 57477 57869 60231 74403 81489 82467 90321 90937 111573 116919 140539 172431 173607 180693 190141 210749 220847 244467 270963 272811 298793 421617 461771 520821 570423 632247 636559 662541 818433 896379 983773 1264851 1330987 1385313 1545929 1711269 1896741 1909677 1987623 2091551 2689137 2951319 3232397 3992961 4155939 4637787 5079481 5729031 6274653 8853957 9697191 10821503 11978883 13913361 14640857 15238443 18823959 22626779 29091573 32464509 35556367 43922571 45715329 67880337 97393527 106669101 131767713 203641011 248894569 320007303 746683707 2240051121