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22320331120 = 24541109149419
BaseRepresentation
bin10100110010011001…
…010011100101110000
32010121112122022011101
4110302121103211300
5331203001043440
614130454054144
71420055453443
oct246231234560
963545568141
1022320331120
11951427714a
1243ab04a354
13214931ab29
14111a52765a
158a980669a
hex532653970

22320331120 has 160 divisors (see below), whose sum is σ = 54137160000. Its totient is φ = 8552079360.

The previous prime is 22320331109. The next prime is 22320331127. The reversal of 22320331120 is 2113302322.

It is a super-3 number, since 3×223203311203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320331127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53270271 + ... + 53270689.

It is an arithmetic number, because the mean of its divisors is an integer number (338357250).

Almost surely, 222320331120 is an apocalyptic number.

22320331120 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 22320331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27068580000).

22320331120 is an abundant number, since it is smaller than the sum of its proper divisors (31816828880).

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

22320331120 is a wasteful number, since it uses less digits than its factorization.

22320331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22320331120 its reverse (2113302322), we get a palindrome (24433633442).

The spelling of 22320331120 in words is "twenty-two billion, three hundred twenty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 109 149 164 205 218 298 328 410 419 436 545 596 656 745 820 838 872 1090 1192 1490 1640 1676 1744 2095 2180 2384 2980 3280 3352 4190 4360 4469 5960 6109 6704 8380 8720 8938 11920 12218 16241 16760 17179 17876 22345 24436 30545 32482 33520 34358 35752 44690 45671 48872 61090 62431 64964 68716 71504 81205 85895 89380 91342 97744 122180 124862 129928 137432 162410 171790 178760 182684 228355 244360 249724 259856 274864 312155 324820 343580 357520 365368 456710 488720 499448 624310 649640 665881 687160 730736 913420 998896 1248620 1299280 1331762 1374320 1826840 1872511 2497240 2559671 2663524 3329405 3653680 3745022 4994480 5119342 5327048 6658810 6804979 7490044 9362555 10238684 10654096 12798355 13317620 13609958 14980088 18725110 20477368 25596710 26635240 27219916 29960176 34024895 37450220 40954736 51193420 53270480 54439832 68049790 74900440 102386840 108879664 136099580 149800880 204773680 272199160 279004139 544398320 558008278 1116016556 1395020695 2232033112 2790041390 4464066224 5580082780 11160165560 22320331120