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22001022220212 = 223272929171032067
BaseRepresentation
bin1010000000010100000110…
…00111010011011110110100
32212220021111001210112010200
411000022003013103132310
510340431043142021322
6114443044032520500
74430343561164550
oct500120307233664
985807431715120
1022001022220212
117012643529012
122573b419b0130
13c378c2565129
14560bd87a0860
1528246c9838ac
hex1402831d37b4

22001022220212 has 144 divisors (see below), whose sum is σ = 65772785420160. Its totient is φ = 6067160983296.

The previous prime is 22001022220189. The next prime is 22001022220223. The reversal of 22001022220212 is 21202222010022.

22001022220212 is a `hidden beast` number, since 2 + 200 + 10 + 22 + 220 + 212 = 666.

22001022220212 is digitally balanced in base 5, 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 a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20801403 + ... + 21833469.

Almost surely, 222001022220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001022220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32886392710080).

22001022220212 is an abundant number, since it is smaller than the sum of its proper divisors (43771763199948).

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

22001022220212 is a wasteful number, since it uses less digits than its factorization.

22001022220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035030 (or 1035025 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22001022220212 its reverse (21202222010022), we get a palindrome (43203244230234).

The spelling of 22001022220212 in words is "twenty-two trillion, one billion, twenty-two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 2917 3654 5834 7308 8751 11668 17502 20419 26253 35004 40838 52506 61257 81676 84593 105012 122514 169186 183771 245028 253779 338372 367542 507558 592151 735084 761337 1015116 1032067 1184302 1522674 1776453 2064134 2368604 3045348 3096201 3552906 4128268 5329359 6192402 7105812 7224469 9288603 10658718 12384804 14448938 18577206 21317436 21673407 28897876 29929943 37154412 43346814 59859886 65020221 86693628 89789829 119719772 130040442 179579658 209509601 260080884 269369487 359159316 419019202 538738974 628528803 838038404 1077477948 1257057606 1885586409 2514115212 3010539439 3771172818 6021078878 7542345636 9031618317 12042157756 18063236634 21073776073 27094854951 36126473268 42147552146 54189709902 63221328219 84295104292 87305643731 108379419804 126442656438 174611287462 189663984657 252885312876 261916931193 349222574924 379327969314 523833862386 611139506117 758655938628 785750793579 1047667724772 1222279012234 1571501587158 1833418518351 2444558024468 3143003174316 3666837036702 5500255555053 7333674073404 11000511110106 22001022220212