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22323331320 = 23354314333019
BaseRepresentation
bin10100110010100100…
…110000000011111000
32010121202021201122220
4110302210300003320
5331204233100240
614131042244040
71420123120413
oct246244600370
963552251586
1022323331320
119515a36254
1243b0056620
132149b2b5b4
14111aaa8b7a
158a9bea5d0
hex5329300f8

22323331320 has 128 divisors (see below), whose sum is σ = 68597971200. Its totient is φ = 5808466944.

The previous prime is 22323331313. The next prime is 22323331321. The reversal of 22323331320 is 2313332322.

It is a super-3 number, since 3×223233313203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323331321) 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, 7392771 + ... + 7395789.

It is an arithmetic number, because the mean of its divisors is an integer number (535921650).

Almost surely, 222323331320 is an apocalyptic number.

22323331320 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 22323331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34298985600).

22323331320 is an abundant number, since it is smaller than the sum of its proper divisors (46274639880).

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

22323331320 is a wasteful number, since it uses less digits than its factorization.

22323331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 22323331320 its reverse (2313332322), we get a palindrome (24636663642).

The spelling of 22323331320 in words is "twenty-two billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1433 1720 2580 2866 3019 4299 5160 5732 6038 7165 8598 9057 11464 12076 14330 15095 17196 18114 21495 24152 28660 30190 34392 36228 42990 45285 57320 60380 61619 72456 85980 90570 120760 123238 129817 171960 181140 184857 246476 259634 308095 362280 369714 389451 492952 519268 616190 649085 739428 778902 924285 1038536 1232380 1298170 1478856 1557804 1848570 1947255 2464760 2596340 3115608 3697140 3894510 4326227 5192680 7394280 7789020 8652454 12978681 15578040 17304908 21631135 25957362 34609816 43262270 51914724 64893405 86524540 103829448 129786810 173049080 186027761 259573620 372055522 519147240 558083283 744111044 930138805 1116166566 1488222088 1860277610 2232333132 2790416415 3720555220 4464666264 5580832830 7441110440 11161665660 22323331320