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2240011305 = 325747712131
BaseRepresentation
bin1000010110000011…
…1101110000101001
312210002222100211200
42011200331300221
514041420330210
61010135114413
7106336532130
oct20540756051
95702870750
102240011305
11a4a478714
12526212a09
1329910039c
141736d4917
15d19c20c0
hex8583dc29

2240011305 has 96 divisors (see below), whose sum is σ = 4597751808. Its totient is φ = 987638400.

The previous prime is 2240011297. The next prime is 2240011321. The reversal of 2240011305 is 5031100422.

It is not a de Polignac number, because 2240011305 - 23 = 2240011297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050090 + ... + 1052220.

It is an arithmetic number, because the mean of its divisors is an integer number (47893248).

Almost surely, 22240011305 is an apocalyptic number.

It is an amenable number.

2240011305 is an abundant number, since it is smaller than the sum of its proper divisors (2357740503).

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

2240011305 is a wasteful number, since it uses less digits than its factorization.

2240011305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2240011305 is about 47328.7576955069. The cubic root of 2240011305 is about 1308.4287252268.

Adding to 2240011305 its reverse (5031100422), we get a palindrome (7271111727).

The spelling of 2240011305 in words is "two billion, two hundred forty million, eleven thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 71 105 141 213 235 315 329 355 423 497 639 705 987 1065 1491 1645 2115 2131 2485 2961 3195 3337 4473 4935 6393 7455 10011 10655 14805 14917 16685 19179 22365 23359 30033 31965 44751 50055 70077 74585 95895 100157 116795 134253 150165 151301 210231 223755 300471 350385 453903 500785 671265 701099 756505 901413 1051155 1059107 1361709 1502355 2103297 2269515 3177321 3505495 4507065 5295535 6309891 6808545 7111147 9531963 10516485 15886605 21333441 31549455 35555735 47659815 49778029 64000323 106667205 149334087 248890145 320001615 448002261 746670435 2240011305