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2204210304220 = 2251722334498429
BaseRepresentation
bin100000000100110101001…
…011000001010011011100
321210201110012120011001211
4200010311023001103130
5242103210314213340
64404333352314204
7315151246310341
oct40046513012334
97721405504054
102204210304220
1177a889286951
122b72356a2964
1312cb18c29402
1478981bca7c8
153c50adb95ea
hex201352c14dc

2204210304220 has 96 divisors (see below), whose sum is σ = 4925116224000. Its totient is φ = 825761685504.

The previous prime is 2204210304157. The next prime is 2204210304227. The reversal of 2204210304220 is 224030124022.

It is a junction number, because it is equal to n+sod(n) for n = 2204210304191 and 2204210304200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204210304227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261498966 + ... + 261507394.

It is an arithmetic number, because the mean of its divisors is an integer number (51303294000).

Almost surely, 22204210304220 is an apocalyptic number.

2204210304220 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 2204210304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462558112000).

2204210304220 is an abundant number, since it is smaller than the sum of its proper divisors (2720905919780).

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

2204210304220 is a wasteful number, since it uses less digits than its factorization.

2204210304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12127 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2204210304220 its reverse (224030124022), we get a palindrome (2428240428242).

The spelling of 2204210304220 in words is "two trillion, two hundred four billion, two hundred ten million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 892 1115 2230 3449 3791 4460 6898 7582 8429 13796 15164 16858 17245 18955 33716 34490 37910 42145 58633 68980 75820 84290 117266 143293 168580 234532 286586 293165 573172 586330 716465 769127 1172660 1432930 1538254 1879667 2865860 3076508 3759334 3845635 7518668 7691270 9398335 13075159 15382540 18796670 26150318 29071621 31954339 37593340 52300636 58143242 63908678 65375795 116286484 127817356 130751590 145358105 159771695 261503180 290716210 319543390 494217557 581432420 639086780 988435114 1976870228 2471087785 4942175570 6482971483 9884351140 12965942966 25931885932 32414857415 64829714830 110210515211 129659429660 220421030422 440842060844 551052576055 1102105152110 2204210304220