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2240130753 = 3271511811301
BaseRepresentation
bin1000010110000101…
…1010111011000001
312210010012102200200
42011201122323001
514041433141003
61010141435413
7106340540310
oct20541327301
95703172620
102240130753
11a4a54a433
1252626bb69
13299142873
14173726277
15d19e76a3
hex8585aec1

2240130753 has 48 divisors (see below), whose sum is σ = 3745926912. Its totient is φ = 1263600000.

The previous prime is 2240130743. The next prime is 2240130757. The reversal of 2240130753 is 3570310422.

It is not a de Polignac number, because 2240130753 - 221 = 2238033601 is a prime.

It is a super-3 number, since 3×22401307533 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2240130757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721203 + ... + 1722503.

It is an arithmetic number, because the mean of its divisors is an integer number (78040144).

Almost surely, 22240130753 is an apocalyptic number.

It is an amenable number.

2240130753 is a deficient number, since it is larger than the sum of its proper divisors (1505796159).

2240130753 is a wasteful number, since it uses less digits than its factorization.

2240130753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2240130753 is about 47330.0195753182. The cubic root of 2240130753 is about 1308.4519820166.

The spelling of 2240130753 in words is "two billion, two hundred forty million, one hundred thirty thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 21 63 151 181 453 543 1057 1267 1301 1359 1629 3171 3801 3903 9107 9513 11403 11709 27321 27331 81963 81993 191317 196451 235481 245979 573951 589353 706443 1375157 1648367 1721853 1768059 2119329 4125471 4945101 12376413 14835303 35557631 106672893 248903417 320018679 746710251 2240130753