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200022012220000 = 255446721415633
BaseRepresentation
bin101101011110101101000000…
…111111000101001001100000
3222020012220202221111200201211
4231132231000333011021200
5202204130040112020000
61545224502135435504
760063053633150155
oct5536550077051140
9866186687450654
10200022012220000
115880794a376003
121a525733225b94
13877bcc17cc029
14375718d26622c
15181d0717d37ba
hexb5eb40fc5260

200022012220000 has 120 divisors (see below), whose sum is σ = 493137889780536. Its totient is φ = 79837476096000.

The previous prime is 200022012219977. The next prime is 200022012220007. The reversal of 200022012220000 is 22210220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022012220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1367817 + ... + 20047816.

Almost surely, 2200022012220000 is an apocalyptic number.

200022012220000 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 200022012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246568944890268).

200022012220000 is an abundant number, since it is smaller than the sum of its proper divisors (293115877560536).

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

200022012220000 is an equidigital number, since it uses as much as digits as its factorization.

200022012220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21416130 (or 21416107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 200022012220000 its reverse (22210220002), we get a palindrome (200044222440002).

The spelling of 200022012220000 in words is "two hundred trillion, twenty-two billion, twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 467 500 625 800 934 1000 1250 1868 2000 2335 2500 3736 4000 4670 5000 7472 9340 10000 11675 14944 18680 20000 23350 37360 46700 58375 74720 93400 116750 186800 233500 291875 373600 467000 583750 934000 1167500 1868000 2335000 4670000 9340000 21415633 42831266 85662532 107078165 171325064 214156330 342650128 428312660 535390825 685300256 856625320 1070781650 1713250640 2141563300 2676954125 3426501280 4283126600 5353908250 8566253200 10001100611 10707816500 13384770625 17132506400 20002201222 21415633000 26769541250 40004402444 42831266000 50005503055 53539082500 80008804888 85662532000 100011006110 107078165000 160017609776 200022012220 214156330000 250027515275 320035219552 400044024440 428312660000 500055030550 800088048880 1000110061100 1250137576375 1600176097760 2000220122200 2500275152750 4000440244400 5000550305500 6250687881875 8000880488800 10001100611000 12501375763750 20002201222000 25002751527500 40004402444000 50005503055000 100011006110000 200022012220000