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20223111120 = 2435474613889
BaseRepresentation
bin10010110101011001…
…000010111111010000
31221012101100111011120
4102311121002333100
5312404104023440
613142415242240
71314101415432
oct226531027720
957171314146
1020223111120
118638467783
123b04819380
131ba3994454
14d9bba2652
157d563cdd0
hex4b5642fd0

20223111120 has 160 divisors (see below), whose sum is σ = 64180892160. Its totient is φ = 5265285120.

The previous prime is 20223111119. The next prime is 20223111137. The reversal of 20223111120 is 2111132202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20223111120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5198136 + ... + 5202024.

It is an arithmetic number, because the mean of its divisors is an integer number (401130576).

Almost surely, 220223111120 is an apocalyptic number.

20223111120 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 20223111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090446080).

20223111120 is an abundant number, since it is smaller than the sum of its proper divisors (43957781040).

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

20223111120 is a wasteful number, since it uses less digits than its factorization.

20223111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20223111120 its reverse (2111132202), we get a palindrome (22334243322).

The spelling of 20223111120 in words is "twenty billion, two hundred twenty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 461 470 564 705 752 922 940 1128 1383 1410 1844 1880 2256 2305 2766 2820 3688 3760 3889 4610 5532 5640 6915 7376 7778 9220 11064 11280 11667 13830 15556 18440 19445 21667 22128 23334 27660 31112 36880 38890 43334 46668 55320 58335 62224 65001 77780 86668 93336 108335 110640 116670 130002 155560 173336 182783 186672 216670 233340 260004 311120 325005 346672 365566 433340 466680 520008 548349 650010 731132 866680 913915 933360 1040016 1096698 1300020 1462264 1733360 1792829 1827830 2193396 2600040 2741745 2924528 3585658 3655660 4386792 5200080 5378487 5483490 7171316 7311320 8773584 8964145 10756974 10966980 14342632 14622640 17928290 21513948 21933960 26892435 28685264 35856580 43027896 43867920 53784870 71713160 84262963 86055792 107569740 143426320 168525926 215139480 252788889 337051852 421314815 430278960 505577778 674103704 842629630 1011155556 1263944445 1348207408 1685259260 2022311112 2527888890 3370518520 4044622224 5055777780 6741037040 10111555560 20223111120