Search a number
-
+
4320140022 = 23611972777
BaseRepresentation
bin1000000011000000…
…00001101011110110
3102011002002212000000
410001200001223312
532321423440042
61552403332130
7212025404262
oct40140015366
912132085000
104320140022
111917674160
12a06981046
1353b051593
142cda8b0a2
151a441174c
hex101801af6

4320140022 has 112 divisors (see below), whose sum is σ = 10712256912. Its totient is φ = 1295170560.

The previous prime is 4320140009. The next prime is 4320140023. The reversal of 4320140022 is 2200410234.

4320140022 is a `hidden beast` number, since 43 + 201 + 400 + 22 = 666.

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 = 4320139977 and 4320140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320140023) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1554298 + ... + 1557074.

It is an arithmetic number, because the mean of its divisors is an integer number (95645151).

Almost surely, 24320140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4320140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356128456).

4320140022 is an abundant number, since it is smaller than the sum of its proper divisors (6392116890).

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

4320140022 is a wasteful number, since it uses less digits than its factorization.

4320140022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2890 counting only the distinct ones).

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

The square root of 4320140022 is about 65727.7720754325. The cubic root of 4320140022 is about 1628.6681659790.

Adding to 4320140022 its reverse (2200410234), we get a palindrome (6520550256).

The spelling of 4320140022 in words is "four billion, three hundred twenty million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 97 99 162 194 198 243 291 297 486 582 594 729 873 891 1067 1458 1746 1782 2134 2619 2673 2777 3201 5238 5346 5554 6402 7857 8019 8331 9603 15714 16038 16662 19206 23571 24993 28809 30547 47142 49986 57618 61094 70713 74979 86427 91641 141426 149958 172854 183282 224937 259281 269369 274923 449874 518562 538738 549846 674811 777843 808107 824769 1349622 1555686 1616214 1649538 2024433 2424321 2474307 2963059 4048866 4848642 4948614 5926118 7272963 7422921 8889177 14545926 14845842 17778354 21818889 22268763 26667531 43637778 44537526 53335062 65456667 80002593 130913334 160005186 196370001 240007779 392740002 480015558 720023337 1440046674 2160070011 4320140022