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2320441020 = 223552320759
BaseRepresentation
bin1000101001001111…
…0001111010111100
312222201022121200000
42022103301322330
514223013103040
61022131034300
7111334265112
oct21223617274
95881277600
102320441020
11a90912757
1254913b990
132ac981231
1418026dab2
15d8aad130
hex8a4f1ebc

2320441020 has 144 divisors (see below), whose sum is σ = 7617093120. Its totient is φ = 591852096.

The previous prime is 2320441007. The next prime is 2320441021. The reversal of 2320441020 is 201440232.

2320441020 is a `hidden beast` number, since 232 + 0 + 4 + 410 + 20 = 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 = 2320440984 and 2320441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320441021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101401 + ... + 122159.

It is an arithmetic number, because the mean of its divisors is an integer number (52896480).

Almost surely, 22320441020 is an apocalyptic number.

2320441020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808546560).

2320441020 is an abundant number, since it is smaller than the sum of its proper divisors (5296652100).

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

2320441020 is a wasteful number, since it uses less digits than its factorization.

2320441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20806 (or 20792 counting only the distinct ones).

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

The square root of 2320441020 is about 48170.9561873127. The cubic root of 2320441020 is about 1323.9050681441.

Adding to 2320441020 its reverse (201440232), we get a palindrome (2521881252).

The spelling of 2320441020 in words is "two billion, three hundred twenty million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1620 1863 2070 2430 2484 3105 3726 4140 4860 5589 6210 7452 9315 11178 12420 18630 20759 22356 27945 37260 41518 55890 62277 83036 103795 111780 124554 186831 207590 249108 311385 373662 415180 477457 560493 622770 747324 934155 954914 1120986 1245540 1432371 1681479 1868310 1909828 2241972 2387285 2802465 2864742 3362958 3736620 4297113 4774570 5044437 5604930 5729484 6725916 7161855 8407395 8594226 9549140 10088874 11209860 12891339 14323710 16814790 17188452 20177748 21485565 25222185 25782678 28647420 33629580 38674017 42971130 50444370 51565356 64456695 77348034 85942260 100888740 116022051 128913390 154696068 193370085 232044102 257826780 386740170 464088204 580110255 773480340 1160220510 2320441020