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2240130222 = 2331117972287
BaseRepresentation
bin1000010110000101…
…1010110010101110
312210010012101222000
42011201122302232
514041433131342
61010141433130
7106340535621
oct20541326256
95703171860
102240130222
11a4a549aa0
1252626b7a6
13299142555
14173725db8
15d19e744c
hex8585acae

2240130222 has 128 divisors (see below), whose sum is σ = 5811886080. Its totient is φ = 632033280.

The previous prime is 2240130209. The next prime is 2240130223. The reversal of 2240130222 is 2220310422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2240130195 and 2240130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240130223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 978363 + ... + 980649.

It is an arithmetic number, because the mean of its divisors is an integer number (45405360).

Almost surely, 22240130222 is an apocalyptic number.

2240130222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240130222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

2240130222 is an abundant number, since it is smaller than the sum of its proper divisors (3571755858).

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

2240130222 is a wasteful number, since it uses less digits than its factorization.

2240130222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240130222 is about 47330.0139657702. The cubic root of 2240130222 is about 1308.4518786316.

Adding to 2240130222 its reverse (2220310422), we get a palindrome (4460440644).

The spelling of 2240130222 in words is "two billion, two hundred forty million, one hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 97 99 102 153 187 194 198 291 297 306 374 459 561 582 594 873 918 1067 1122 1649 1683 1746 2134 2287 2619 3201 3298 3366 4574 4947 5049 5238 6402 6861 9603 9894 10098 13722 14841 18139 19206 20583 25157 28809 29682 36278 38879 41166 44523 50314 54417 57618 61749 75471 77758 89046 108834 116637 123498 150942 163251 221839 226413 233274 326502 349911 427669 443678 452826 489753 665517 679239 699822 855338 979506 1049733 1283007 1331034 1358478 1996551 2099466 2440229 2566014 3771263 3849021 3993102 4880458 5989653 7320687 7542526 7698042 11313789 11547063 11979306 14641374 21962061 22627578 23094126 33941367 41483893 43924122 65886183 67882734 82967786 101824101 124451679 131772366 203648202 248903358 373355037 746710074 1120065111 2240130222