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220021332210 = 233529199714071
BaseRepresentation
bin1100110011101001001…
…0110001100011110010
3210000220122221202001000
43030322102301203302
512101100430112320
6245024300422430
721616222315641
oct3147222614362
9700818852030
10220021332210
1185346340449
1236784847a16
1317995255704
14a91315b358
155acb005c90
hex333a4b18f2

220021332210 has 128 divisors (see below), whose sum is σ = 607302489600. Its totient is φ = 56616779520.

The previous prime is 220021332197. The next prime is 220021332277. The reversal of 220021332210 is 12233120022.

220021332210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15629475 + ... + 15643545.

It is an arithmetic number, because the mean of its divisors is an integer number (4744550700).

Almost surely, 2220021332210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021332210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303651244800).

220021332210 is an abundant number, since it is smaller than the sum of its proper divisors (387281157390).

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

220021332210 is a wasteful number, since it uses less digits than its factorization.

220021332210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220021332210 its reverse (12233120022), we get a palindrome (232254452232).

The spelling of 220021332210 in words is "two hundred twenty billion, twenty-one million, three hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 1997 2610 3915 3994 5991 7830 9985 11982 14071 17973 19970 28142 29955 35946 42213 53919 57913 59910 70355 84426 89865 107838 115826 126639 140710 173739 179730 211065 253278 269595 289565 347478 379917 408059 422130 521217 539190 579130 633195 759834 816118 868695 1042434 1224177 1266390 1563651 1737390 1899585 2040295 2448354 2606085 3127302 3672531 3799170 4080590 5212170 6120885 7345062 7818255 11017593 12241770 15636510 18362655 22035186 28099787 36725310 55087965 56199574 84299361 110175930 140498935 168598722 252898083 280997870 421496805 505796166 758694249 814893823 842993610 1264490415 1517388498 1629787646 2444681469 2528980830 3793471245 4074469115 4889362938 7334044407 7586942490 8148938230 12223407345 14668088814 22002133221 24446814690 36670222035 44004266442 73340444070 110010666105 220021332210