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22012286885040 = 24351991151400429
BaseRepresentation
bin1010000000101001000101…
…00010100101110010110000
32212221100120010020210021010
411000110202202211302300
510341122130420310130
6114452145513430520
74431222663231144
oct500244242456260
985840503223233
1022012286885040
1170173a40a6471
12257616640b440
13c3899926808a
14561586887224
152828cb8a20b0
hex1405228a5cb0

22012286885040 has 160 divisors (see below), whose sum is σ = 68640749568000. Its totient is φ = 5835357158400.

The previous prime is 22012286884999. The next prime is 22012286885087. The reversal of 22012286885040 is 4058868221022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54771546 + ... + 55171974.

It is an arithmetic number, because the mean of its divisors is an integer number (429004684800).

Almost surely, 222012286885040 is an apocalyptic number.

22012286885040 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 22012286885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320374784000).

22012286885040 is an abundant number, since it is smaller than the sum of its proper divisors (46628462682960).

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

22012286885040 is a wasteful number, since it uses less digits than its factorization.

22012286885040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401795 (or 401789 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 22012286885040 in words is "twenty-two trillion, twelve billion, two hundred eighty-six million, eight hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1151 1194 1592 1990 2302 2388 2985 3184 3453 3980 4604 4776 5755 5970 6906 7960 9208 9552 11510 11940 13812 15920 17265 18416 23020 23880 27624 34530 46040 47760 55248 69060 92080 138120 229049 276240 400429 458098 687147 800858 916196 1145245 1201287 1374294 1601716 1832392 2002145 2290490 2402574 2748588 3203432 3435735 3664784 4004290 4580980 4805148 5497176 6006435 6406864 6871470 8008580 9161960 9610296 10994352 12012870 13742940 16017160 18323920 19220592 24025740 27485880 32034320 48051480 54971760 79685371 96102960 159370742 239056113 318741484 398426855 460893779 478112226 637482968 796853710 921787558 956224452 1195280565 1274965936 1382681337 1593707420 1843575116 1912448904 2304468895 2390561130 2765362674 3187414840 3687150232 3824897808 4608937790 4781122260 5530725348 6374829680 6913406685 7374300464 9217875580 9562244520 11061450696 13826813370 18435751160 19124489040 22122901392 27653626740 36871502320 55307253480 91717862021 110614506960 183435724042 275153586063 366871448084 458589310105 550307172126 733742896168 917178620210 1100614344252 1375767930315 1467485792336 1834357240420 2201228688504 2751535860630 3668714480840 4402457377008 5503071721260 7337428961680 11006143442520 22012286885040