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2202122020 = 225743247181
BaseRepresentation
bin1000001101000001…
…1011011100100100
312200110200101111211
42003100123130210
514002220401040
61002303041204
7105366504550
oct20320333444
95613611454
102202122020
11a3004995a
125155a0204
132912c54a7
1416c670860
15cd4da8ea
hex8341b724

2202122020 has 144 divisors (see below), whose sum is σ = 5556515328. Its totient is φ = 717776640.

The previous prime is 2202122011. The next prime is 2202122029. The reversal of 2202122020 is 202212022.

It is an interprime number because it is at equal distance from previous prime (2202122011) and next prime (2202122029).

It is not an unprimeable number, because it can be changed into a prime (2202122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12166330 + ... + 12166510.

It is an arithmetic number, because the mean of its divisors is an integer number (38586912).

Almost surely, 22202122020 is an apocalyptic number.

2202122020 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 2202122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778257664).

2202122020 is an abundant number, since it is smaller than the sum of its proper divisors (3354393308).

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

2202122020 is a wasteful number, since it uses less digits than its factorization.

2202122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 285 counting only the distinct ones).

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

The square root of 2202122020 is about 46926.7729553184. The cubic root of 2202122020 is about 1301.0094762734.

Adding to 2202122020 its reverse (202212022), we get a palindrome (2404334042).

The spelling of 2202122020 in words is "two billion, two hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 47 70 86 94 140 172 181 188 215 235 301 329 362 430 470 602 658 724 860 905 940 1204 1267 1316 1505 1645 1810 1849 2021 2534 3010 3290 3620 3698 4042 5068 6020 6335 6580 7396 7783 8084 8507 9245 10105 12670 12943 14147 15566 17014 18490 20210 25340 25886 28294 31132 34028 36980 38915 40420 42535 51772 54481 56588 59549 64715 70735 77830 85070 86903 108962 119098 129430 141470 155660 170140 173806 217924 238196 258860 272405 282940 297745 334669 347612 365801 434515 544810 595490 608321 669338 731602 869030 1089620 1190980 1216642 1338676 1463204 1673345 1738060 1829005 2342683 2433284 2560607 3041605 3346690 3658010 4685366 5121214 6083210 6693380 7316020 9370732 10242428 11713415 12166420 12803035 15729443 23426830 25606070 31458886 46853660 51212140 62917772 78647215 110106101 157294430 220212202 314588860 440424404 550530505 1101061010 2202122020