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212020232221220 = 225237137317404129
BaseRepresentation
bin110000001101010011001110…
…101000000111001000100100
31000210200221021112012111020112
4300031103032220013020210
5210242214413422034340
62030532430002152152
762441646001350653
oct6015231650071044
91023627245174215
10212020232221220
1161613303807435
121b942b36952658
13913c5644b26a7
143a4db9669719a
15197a1ed2ec065
hexc0d4cea07224

212020232221220 has 96 divisors (see below), whose sum is σ = 472407679941120. Its totient is φ = 79763814789120.

The previous prime is 212020232221159. The next prime is 212020232221297. The reversal of 212020232221220 is 22122232020212.

It is a super-2 number, since 2×2120202322212202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 31 ways as a sum of consecutive naturals, for example, 3480116 + ... + 20884244.

It is an arithmetic number, because the mean of its divisors is an integer number (4920913332720).

Almost surely, 2212020232221220 is an apocalyptic number.

212020232221220 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 212020232221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236203839970560).

212020232221220 is an abundant number, since it is smaller than the sum of its proper divisors (260387447719900).

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

212020232221220 is a wasteful number, since it uses less digits than its factorization.

212020232221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17404605 (or 17404603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 212020232221220 its reverse (22122232020212), we get a palindrome (234142464241432).

The spelling of 212020232221220 in words is "two hundred twelve trillion, twenty billion, two hundred thirty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 373 460 710 746 1420 1492 1633 1865 3266 3730 6532 7460 8165 8579 16330 17158 26483 32660 34316 42895 52966 85790 105932 132415 171580 264830 529660 609109 1218218 2436436 3045545 6091090 12182180 17404129 34808258 69616516 87020645 174041290 348082580 400294967 800589934 1235693159 1601179868 2001474835 2471386318 4002949670 4942772636 6178465795 6491740117 8005899340 12356931590 12983480234 24713863180 25966960468 28420942657 32458700585 56841885314 64917401170 113683770628 129834802340 142104713285 149310022691 284209426570 298620045382 460913548307 568418853140 597240090764 746550113455 921827096614 1493100226910 1843654193228 2304567741535 2986200453820 4609135483070 9218270966140 10601011611061 21202023222122 42404046444244 53005058055305 106010116110610 212020232221220