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22300322341040 = 2451797353478879
BaseRepresentation
bin1010001001000001100101…
…10010101010000010110000
32220221220000210210000010222
411010200302302222002300
510410332030004403130
6115232343205112212
74461100530221162
oct504406262520260
986856023700128
1022300322341040
117118571658777
122601b509b8668
13c59bb0397643
145714ac99a932
1528a138995ce5
hex144832caa0b0

22300322341040 has 160 divisors (see below), whose sum is σ = 55621345006080. Its totient is φ = 8285309632512.

The previous prime is 22300322341019. The next prime is 22300322341049. The reversal of 22300322341040 is 4014322300322.

It is not an unprimeable number, because it can be changed into a prime (22300322341049) 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, 46328321 + ... + 46807199.

It is an arithmetic number, because the mean of its divisors is an integer number (347633406288).

Almost surely, 222300322341040 is an apocalyptic number.

22300322341040 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 22300322341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27810672503040).

22300322341040 is an abundant number, since it is smaller than the sum of its proper divisors (33321022665040).

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

22300322341040 is a wasteful number, since it uses less digits than its factorization.

22300322341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479359 (or 479353 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 22300322341040 its reverse (4014322300322), we get a palindrome (26314644641362).

The spelling of 22300322341040 in words is "twenty-two trillion, three hundred billion, three hundred twenty-two million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 353 388 485 680 706 776 970 1360 1412 1552 1649 1765 1940 2824 3298 3530 3880 5648 6001 6596 7060 7760 8245 12002 13192 14120 16490 24004 26384 28240 30005 32980 34241 48008 60010 65960 68482 96016 120020 131920 136964 171205 240040 273928 342410 478879 480080 547856 582097 684820 957758 1164194 1369640 1915516 2328388 2394395 2739280 2910485 3831032 4656776 4788790 5820970 7662064 8140943 9313552 9577580 11641940 16281886 19155160 23283880 32563772 38310320 40704715 46451263 46567760 65127544 81409430 92902526 130255088 162818860 169044287 185805052 232256315 325637720 338088574 371610104 464512630 651275440 676177148 743220208 789671471 845221435 929025260 1352354296 1579342942 1690442870 1858050520 2704708592 2873752879 3158685884 3380885740 3716101040 3948357355 5747505758 6317371768 6761771480 7896714710 11495011516 12634743536 13523542960 14368764395 15793429420 16397295839 22990023032 28737528790 31586858840 32794591678 45980046064 57475057580 63173717680 65589183356 81986479195 114950115160 131178366712 163972958390 229900230320 262356733424 278754029263 327945916780 557508058526 655891833560 1115016117052 1311783667120 1393770146315 2230032234104 2787540292630 4460064468208 5575080585260 11150161170520 22300322341040